It will seem weird indeed, but it’s a Panda Daytona. Something magical will happen when you put in on.
Just google « daytona on a woman wrist »
You will see.
31 is absolutely tiny. If you think the 36 was massive (it wasn't), maybe look at 34mm options in other models? Or get a 36mm DJ and if you can't get used to the size after a couple of weeks sell it on. The 31mm will be much hard to sell if you decide you don't like it.
I don't dislike it by any means, I had a 36mm watch (nothing luxury) for 10 years and loved the oversized look. I have been feeling more, understated these days, and really liked the aesthetic from this photo I found: