My (33M) girlfriend (28F) won’t let me order fun drinks at coffee shops because they’re “gay”.

Throwaway since my (33M) girlfriend (28F) is also an avid redditor. I've been together with my parter for about 1 year now. Long story short is that my girlfriend won't let me order fun drinks when we go to a coffee shop on weekends because she says they make me look gay. When I pressed her on it last time around she sort of backtracked a bit and says she's also worried about the added sugar of drinks like frappuccinos, mochas, pumpkin spiced lattes, etc. The thing is, I only drink regular black coffee during the week and keep a pretty clean diet. I view a mocha frappuccino on the weekend as my reward or cheat meal, and it's just nice to switch it up from my go-to. I am 6 foot tall and 175 pounds so weight really isn't much of an issue and I workout a few times per week.

My partner has called me gay multiple times when ordering these drinks. And one time when we were out with her other girlfriends, they all agreed that men should stick to plain black coffee. They even said that an iced americano (my typical drink) is somewhat feminine because you drink it through a straw. I was disappointed by these women as they are all well-educated, liberal, and claim to be progressive! I find this double standard a bit troubling to say the least but they claimed that "they can't be sexist or homophobic because they are women". I love my girlfriend and wish she could stop saying these things. But I find it hurtful and am at odds on how to talk to her or make her come around. Do I keep trying to convince her or move on?

Edit: A lot of comments which have given me much to think about, so thank you. To be clear I have not changed my coffee drink order to apease my girlfriend. But she'll make a demeaning comment each time. She's obviously shown me many good traits and isn't a bad person but immature may be the right word. I appreciate the honest feedback here. Breaking up with her over coffee would certainly be ironic.

Edit 2: I appreciate everyone who read this and shared genuine advice. By irony I meant that I would break up with her AT a coffee shop, WHILE drinking my "fun" drink, if it needs to come to that. I don't know why she's so against me drinking from straws. But now Starbucks mostly serves drinks in those sippy cups. I honestly just went along with it because reducing plastic waste is fine by me and I could take her jabs. But in retrospect maybe I've been a bit of a pushover. You've given me much to think about.