Does the combined pill cause a latex allergy?

I felt relatively settled on this contraception.

Been on combined pill for 16 years with no breaks. Periods are now regular - previously irregular & not as frequent as they should be. Never fallen pregnant. Had pre-existing issues with depression/self esteem/anxiety, so cannot say whether my mental health has declined or not. I like the flexibility of taking packs back to back if I want to avoid having a period on a certain date, and I prefer being on a contraceptive where I have a bleed as a clear indicator that I’m unlikely to be pregnant each month. I started using a cup several years ago and have noticed my bleeds often contain large clots. Only get period pain on the first day of my period which I manage with ibuprofen and then it subsides. Have been HPV positive on my last two smears and recently had a colposcopy which confirmed I have no abnormal cells as of yet - Having done research, apparently being on the pill can elevate your risk of cervical cancer.

I start 3 years ago on the levest pill, and since then I have put on lots of weight and tried to lose it but it hasn’t gone. I only started the pill to regulate my periods, which it has only made them more heavier. I want to change but I don’t know what to?