Jesus welcomed everyone.
He was always hanging out with people of 'bad reputation:'
A lot of men and women of doubtful reputation were hanging around Jesus, listening intently. The religion scholars were not pleased, not at all pleased. They growled, "He takes in sinners and eats meals with them, treating them like old friends." Luke 15:1
Levi gave a large dinner at his home for Jesus. Everybody was there, tax men and other disreputable characters as guests at the dinner. The religion scholars came to his disciples greatly offended. "What is he doing eating and drinking with crooks and 'sinners'?" Jesus heard about it and spoke up, "Who needs a doctor to spend time with them: the healthy or the sick? I'm here inviting outsiders, not insiders—an invitation to a changed life, changed inside and out." Luke 5: 29-32
He taught the value of people far from God:
Suppose one of you had a hundred sheep and lost one. Wouldn't you leave the ninety-nine in the wilderness and go after the lost one until you found it? When found, you can be sure you would put it across your shoulders, rejoicing, and when you got home call in your friends and neighbors, saying, 'Celebrate with me! I've found my lost sheep!' Count on it—there's more joy in heaven over one person's rescued life than over ninety-nine good people in no need of rescue. Luke 15:4
He protected the obvious outcasts:
The religion scholars and leaders led in a woman who had been caught in an act of adultery. They stood her in plain sight of everyone and said, "Teacher, this woman was caught red-handed in the act of adultery. Moses, in the Law, gives orders to stone such persons to death. What do you say?" They were trying to trap him into saying something incriminating, so they could bring charges against him. Jesus bent down and wrote with his finger in the dirt. They kept at him, badgering him. He straightened up and said, "The perfect one among you, go first: Throw the stone." Bending down again, he wrote some more in the dirt. Hearing that, they walked away, one after another, beginning with the oldest. The woman was left alone. Jesus stood up and spoke to her. "Woman, where are they? Does no one condemn you?" "No one, Master." "Neither do I condemn you," said Jesus. John 8
One day in one of the villages there was a man covered with a skin disease. When he saw Jesus he fell down before him in prayer and said, "If you want to, you can cleanse me." Jesus put out his hand, touched him, and said, "I want to. Be clean." Then and there his skin was smooth, the affliction was gone. Luke 5: 12-13
He did all this to show us the way we are supposed to behave:
And this is why God sent Jesus: so that no one need be destroyed; by believing in him, anyone can have a whole and lasting life. God didn't go to all the trouble of sending his Son merely to point an accusing finger, telling the world how bad it was. He came to help, to put the world right again. John 3:16-17
It's for you.