I think that's fine.
Our kids all have different personalities and enjoy different social aspects - just like my husband and I both do. My husband (big time introvert) has to be dragged to parties but will gladly get together with a couple we're close to for very casual evening.
Kids are same. One of my kids never enjoyed sleepover parties. He'd ask to not go to those. He's an introvert and it would cause him anxiety. We ended up coming up with a solution (because he wanted to go when he was a bit older) by picking him up around 10 pm. However, he asked us for this compromise. We never forced it. When he was little, we just skipped them.
Another one of my kids skipped the odd get-together with certain friend mixes. He liked all the kids individually, but he didn't like certain friend dynamics. Some group dynamics can be a bit stressful for kids as tweens.
I would trust her judgement and just support her.
If she wanted to go but had mild anxiety, and that was standing in her way, then I would suggest empowering her and providing her with techniques for coping - but from what you've written this doesn't sound like it.
I think your husband should back off. It won't affect her friendships whatsoever. Kids have to miss parties all the time and it makes no difference to their friendships. Trust me.
That also sends a message to your child that they have to conform which isn't very healthy - as in go against what feels right to you. Not great for ten. I get he's coming from a concerned place, but it's likely a phase. Kids change over time with what they are comfortable with.