I'm going to ask the lady that sits next to me at work to stop chewing gum
If she refuses will you start to chew gum along with her to show her how it feels?
Yes, actually I already did so.
Chewing gum all the time next to a person is a nerve wracking ordeal, but to boss others around is kind of rude. Mimicking her might make her believe she is wrong if she gets a dose of her own medicine, that is smart. Just telling her to quit it might make her rebel and do it all the more.
I just also thought that it would be rude to chew gum just to annoy her but men should show who's boss by taking charge.
I can see the sexism in your comment.It's wrong to suggest only men should be in control of the situation. Just talk to that lady and ask her politely not to chew gum when you're around.