I got a promotion.. dealing with jealous passive Aggressive coworkers

I got a promotion. Yay. However my work "friend" has been passive aggressive ever since my success has been noticable. She tries to put down my work ethic saying idk how to do my job. The "friendship" isn't worth how badly she's been treating me. I've thought about cutting her off and just keeping it professional with her, it's a warehouse so there's lots going on all the time so maybe it'd work.

.....However, she's the type of person she calls you out in a very obvious and on the spot way. Like If I walk past her and ignore her she'd go "hey you just walked past me and didn't say anything..you just ignored me" which she has done and, if she did it enough wouldn't paint a good image for me at work. So I'm thinking if we get to that point what am I supposed to say ? "Yeah I've cut you off because you keep making mean comments twords me and have been treating me differently since I got promoted".... doesn't sound very professional. I'm unsure how to handle it.

......I say "friend" because we've been to each other's houses.