Unless you are a member of one of the original tribes of Israel, your place within God's plan of redemption does not include you as an original recipient. That does not mean; however, that His plan does not include you (or me). I submit two sections of Scripture for your contemplation:
And behold, a Canaanite woman from that region came out and was crying, “ on me, O Lord, Son of David; my daughter is severely oppressed by a demon.” But he did not answer her a word. And his disciples came and begged him, saying, “Send her away, for she is crying out after us.” He answered, “I was sent only to the lost sheep of the house of .” But she came and knelt before him, saying, “Lord, help me.” And he answered, “It is not right to take the children's bread and throw it to the dogs.” She said, “Yes, Lord, yet even the dogs eat the crumbs that fall from their masters' table.” Then Jesus answered her, “O woman, great is your faith! Be it done for you as you desire.” And her daughter was healed instantly.  (Matthew 15:22-28, ESV)
When one of those who reclined at table with him heard these things, he said to him, “Blessed is everyone who will eat bread in the kingdom of God!” But he said to him, “A man once gave a great banquet and invited many. And at the time for the banquet he sent his servant  to say to those who had been invited, ‘Come, for everything is now ready.’ But they all alike began to make excuses. The first said to him, ‘I have bought a field, and I must go out and see it. Please have me excused.’ And another said, ‘I have bought five yoke of oxen, and I go to examine them. Please have me excused.’ And another said, ‘I have married a wife, and therefore I cannot come.’ So the servant came and reported these things to his master. Then the master of the house became angry and said to his servant, ‘Go out quickly to the streets and lanes of the city, and bring in the poor and crippled and blind and lame.’ And the servant said, ‘Sir, what you commanded has been done, and still there is room.’ And the master said to the servant, ‘Go out to the highways and hedges and compel people to come in, that my house may be filled. (Luke 14:15-23, ESV)
The Gospel of Christ is not limited to the Tribes of Israel, but it is made clear that they were the chosen ones to be among the first. "For I am not ashamed of the gospel, for it is the power of God for salvation to everyone who believes, to the Jew first and also to the ." (Romans 1:16, ESV) It is not up to us as to who can come unto God (for an illustration i encourage you to read the Book of Jonah). We are instrumental in either "seeding", or "reaping", but how the Word grows is up to Him.
We were each ones sinners, in direct opposition to God, and yet He reached down and pulled us out of our condition to call us friend. If God is presenting you with an opportunity to minister, you need to minister.
The next day, as they were on their journey and approaching the city, Peter went up on the housetop about the sixth hour  to pray. And he became hungry and wanted something to eat, but while they were preparing it, he fell into a trance and saw the heavens opened and something like a great sheet descending, being let down by its four corners upon the earth. In it were all kinds of animals and reptiles and birds of the air. And there came a voice to him: “Rise, Peter; kill and eat.” But Peter said, “By no means, Lord; for I have never eaten anything that is common or unclean.” And the voice came to him again a second time, “What God has made clean, do not call common.” This happened three times, and the thing was taken up at once to heaven.
Now while Peter was inwardly perplexed as to what the vision that he had seen might mean, behold, the men who were sent by Cornelius, having made inquiry for Simon's house, stood at the gate and called out to ask whether Simon who was called Peter was lodging there. And while Peter was pondering the vision, the Spirit said to him, “Behold, three men are looking for you. Rise and go down and accompany them without hesitation, for I have sent them.” And Peter went down to the men and said, “I am the one you are looking for. What is the reason for your coming?” And they said, “Cornelius, a centurion, an upright and God-fearing man, who is well spoken of by the whole Jewish nation, was directed by a holy angel to send for you to come to his house and to hear what you have to say.” So he invited them in to be his guests.
The next day he rose and went away with them, and some of the brothers from Joppa accompanied him. And on the following day they entered Caesarea. Cornelius was expecting them and had called together his relatives and close friends. When Peter entered, Cornelius met him and fell down at his feet and worshiped him. But Peter lifted him up, saying, “Stand up; I too am a man.” And as he talked with him, he went in and found many persons gathered. And he said to them, “You yourselves know how unlawful it is for a Jew to associate with or to visit anyone of another nation, but God has shown me that I should not call any person common or unclean. So when I was sent for, I came without objection. I ask then why you sent for me.”
And Cornelius said, “Four days ago, about this hour, I was praying in my house at the ninth hour,  and behold, a man stood before me in bright clothing and said, ‘Cornelius, your prayer has been heard and your alms have been remembered before God. Send therefore to Joppa and ask for Simon who is called Peter. He is lodging in the house of Simon, a tanner, by the sea.’ So I sent for you at once, and you have been kind enough to come. Now therefore we are all here in the ( to hear all that you have been commanded by the Lord.”Acts 10:9-33, ESV Emphasis mine)
We were all sinners, in direct opposition to God, when He reached down and pulled us out of our retched condition to call us friend. God does not see our skin color, hear our spoken language, consider our clothes or place where we sleep. He does not consider our hangups, our preferences, or even our "good deeds". He sees a man, or a woman, who is in need of His Son and the propitiatory sacrifice Jesus did on our behalf, and He takes action. So should we when called upon.