AIO for telling my gf I need some space after she “joked” about my dead dad in front of her friends?

I've been dating my girlfriend (both in our mid-20s) for almost two years now. Overall, it’s been pretty good we share plenty of laughs and support each other through work stress. Honestly, I thought we were really building something meaningful. I’m the guy who shows up, remembers the little things, and tries to be that steady rock for her.

Last weekend, we were at a small get-together with her close friends. Everyone was sipping drinks, and the atmosphere was pretty chill. Out of nowhere, she starts sharing this “funny” story about how I always get quiet on Father’s Day. Then, she casually mentions, “Yeah, his dad left when he was young, so now he has serious daddy issues lol, that’s why he’s so uptight about plans.” Her friends laughed. I just sat there, feeling like someone had knocked the wind out of me. I didn’t make a scene. I waited until we got home to calmly tell her that bringing up my dad like that especially labeling it “daddy issues” in front of her friends really stung. She just rolled her eyes and claimed I was being overly sensitive. According to her, it was just a joke meant to show how well she knows me, and that I “always kill the vibe when her friends are around.” I ended up sleeping on the couch that night. The next day? She acted like nothing happened and got annoyed when I mentioned needing a couple of days to sort through my feelings. Now, I’m getting messages saying I’m punishing her for one “harmless” comment. If I truly loved her, I’d let it slide. Some of her friends even reached out, saying I’m overreacting after all, “guys are supposed to be tough.”

I've never pushed her to cut ties or change who she is. I simply wanted a little respect over something that’s genuinely painful for me. Am I being unreasonable by pulling back a bit and asking for an actual apology instead of “it was just a joke, bro”?