I [20M] am thinking about breaking up with my [20F] gf over a lack of sex

My girlfriend and I are both college students and currently live in the same apartment and have been dating for 2 years. The first year or so our sex life was pretty good usually having sex at least once a week if not more but over time it became less and less and now it’s more like once a month or sometimes less.

I’ve brought this up multiple times over the past maybe 5 months and last week when i brought it up i hinted that if this persists maybe we should end things despite that not being what i want. Its just that this has started to affect my self image and worth and i feel insecure for the first time in my life

My girlfriend struggles with depression and says that it’s hard for her to get in to the mood but I feel like at that same time im not unjustified. she also says some manipulative shit too if i ever bring up the possibility of us splitting off but i don’t want to get into that too much. I love her deeply and don’t want to break up but should i?