See, THIS is why I do the swaps...to learn or practice something new. I'm not a painter but I did a painting for a swap and I loved the damn thing and I'm my own worst critic. I want to be a better painter so that's why I chose that project to do.
I like being "mismatched"! But, I join swap as a personal challenge. I like to try new things and having a partner makes me work really hard to learn the new skill well and quickly. For my last swap I made a zombie quilt. That's something I NEVER would have dreamed up for myself, but it ended up being one of the coolest things I've ever made, and my partner loved it. I was proud of it because I went way outside my comfort zone to create the finished product.
Perhaps it would help you to think of your "mismatched" swap as a personal challenge. A way for you to grow as an artist in a different direction, a way to step outside your comfort zone? From personal experience, I can tell you it feels awesome when you succeed!