This was one of the things that I raised with my partner recently, when I wrote down a few things that I felt I needed him to work on (and there are several things I know I need to work on too - don't get me wrong - every good relationship has to be a work in progress!)
I said I wanted him to show more of an interest in my friends.
For me, that doesn't mean he actually needs to spend time with them. I value time with them on my own. It's more about how he listens/speaks about them.
And to be fair, he is making the effort with that since I raised it.
It's not that I want to bang on about my friends and their problems 24/7.
But if used to be that I didn't even bother mentioning it if one of my close friends was going through problems, because i knew he would either just ignore me or (even worse) say something judgemental or critical about them.
Since I raised it as an issue, now I feel that, if I get a text from one of my friends saying something shit has happened in her life, I can mention it and he will at the least listen sympathetically, maybe even contribute a useful opinion or bit of information. (For example my best friend's mom has a new health issue - when I mentioned it to my partner a couple of days ago, turned out he knew more about that issue than me and could tell me a bit about it. Another friend is doing internet dating at the moment - when I have mentioned a few of her struggles to him he has contributed a useful male perspective).
Just wondering if, actually, this is what your wife needs from you OP. Not necessarily you spending a load of time with her friends. Just speaking about them kindly when she brings them up.
You'd be amazed the difference that can makes. If you love someone, as we women tend to love our friends, it's nice to feel the person you love most in the world apart from your kids (hopefully, your partner) can listen and give non -judgemental advice when you speak about that person.
On the other hand, if you make it clear that you hold her friends in contempt she will feel that she can't really discuss them and their issues with you. And you'd be surprised how stifling that can feel.
Women tend to "gossip" more than men. By "gossip" I don't mean bad stuff - I mean we talk more about people, feelings, relationships, emotions. It's not a bad thing. It's how we help make sense of a difficult world.
If you love her, just show a respectful interest in her friends and their concerns. You may be amazed how happy that makes her!