I LOVE Anna Kate! I think it's gorgeous. If not, and you want to honour her Chinese name (as well as as a mn) maybe a name that means kind/gentle (if you don't love Violet) ?
Perhaps Alice (noble, kind)
Clementine (clemency, mercy, kindness)
or Grace (undeserved kindness)
All the best for a smooth transition for your little one and your family.
Congratulations on your adoption - very exciting! I adopted my own dear daughter from Guatemala and named her Emma Kate. That's very similar to Anna Kate and I suppose that's why it's my favorite name from your list. Best of luck as you make your way through the process. It will be worth it!