Yes, Jesus accepts ANYONE who accepts Him. But please note that when I say "accept" I mean accept 100 percent. You can't continue to live your life of sin and accept Him. You have to admit you're a sinner, ask Him to forgive you, and change your ways. You will make mistakes of course, but your heart has to be right. Jesus died for all of us...even the worst of us. If Hitler had confessed before he died, he could be saved despite all the terrible things he did. Keep in mind we could never earn our salvation. The Bible says our righteousness is as filthy rags. However because of grace and faith we are saved. When we ask for forgiveness, God throws that sin into the sea of forgetfulness. When He looks at us, He doesn't see our sin. He sees Jesus in us.