I'm going to ignore a depressed girl
Why are you choosing to ignore a depressed girl?
She is annoying and I get a weird vibe from her.
If she's depressed ignoring her could make it worse. Maybe you should nicely tell her you can't spend time with her.
I'm basically talking to her so it's not that I'm ignoring her.
You should practice empathy by actively reaching out to someone that you know is dealing with depression. Doing this will help you to understand how valuable you can be to someone else.