My cube neighbour clipped her fingernails
multiple times a day! Every time she got on the phone for a personal call, I could hear that sound "clipclipclip." I suspected that she used a teeny tiny set of clippers and only did one nail at a time. I have an involuntary physical reaction to that noise-- I don't know why, but I get nauseous and I twitch. She also had terrible table manners and other annoying personal habits.
I kept my complaints to myself, except about her scented hand lotion. I get migraines from most commercial scents. I told her a couple of times about my sensitivity, but I had to start going home sick when she applied her lotion (accidentally? she said). When I informed my manager, I was direct and without judgement, "Clippy's moisturizer has a chemical in it that makes me ill. I'll be back tomorrow, provided my medication works." Since the sensitivity was documented (I'm the reason for the "No Scents make Sense!" signs from HR in the bathroom

, I didn't get any grief about having to leave.
I only had to do that twice, then the lotion magically disappeared. Then only two more times when she started using a scented body spray in her cubicle after her afternoon walk around the block. ("But you said the lotion bothered you! I didn't think perfume would!"
As for her other habits, I eventually found out another coworker was also driven to distraction by the clipping, the snorting, loud personal calls, inappropriate comments (she caught me wincing and twitching in my cubicle). We started a game, just between the two of us. We would each pick one of Clippy's repeat offenses and then discreetly tally them over the week. On Friday, the one with the least amount of check marks bought the morning coffee. We also made a point of bringing up some of her redeeming qualities (generous, helpful, animal rescuer) during our coffee run, just to ensure we weren't building her up as the Office Villain. Our game was pretty juvenile and not recommended.
Even though I commiserate with you, OP, I don't really know how you can broach any of these other complaints with manners and grace. You can't control her, so you will have to manage your reactions.