Where did you get the idea that he did not have a key to access the building?
‘It’s the only indicator any resident has that they live in the building and he wouldn’t answer me. He would not show me one,’ she said.
According to her story, she propped the door open, she saw him try to get in, and she asked if he had the key, and he refused to show one.
She does not say she saw him pull out the fob and try to open the door, or that she heard the door click. It is possible that he actually DID "buzz himself in", that she missed it, and just ASSUMED that he had not because she had propped the door open.
But there is nothing in her story that suggests that her perception was invalid, or of malice. It is believable that she propped the door open, saw him try to go through it, asked to see his key fob so she knew he was allowed in the building, and he refused to show it to her, instead choosing to make this into a hostile race-baiting incident.
Just as I am always on the lookout now for SJWs, especially female, to post things in the hopes that guys say the wrong thing and they can destroy them, I am now thinking white women better be on the lookout for people who SEEM to be civil, but in fact are race-baiting for fun and giggles.