I've not had a similar experience but wonder whether your flute has an off set or inline G key. People with smallish hands sometimes position their hands uncomfortably on inline keys or the flute is not a good fit (there are differences amongst flutes, some are comfy others not so much). Just a WAG but maybe you can make small changes in hand and/or wrist position? Another idea is just one lesson to check out what you are doing and make corrections before you develop habits.
In general, if there is pain or numbness or odd sensations, stop what you are doing immediately. To do otherwise may make things worse.
Thanks for your reply. My flute has an offset G, and I'd say my fingers are fairly long. I think I'll play around with changing my hand/wrist position tomorrow.
I'd love to take a lesson or two, but with my busy schedule, (work and shuttling my daughter to and from school/lessons) I just don't have time right now. Maybe this summer......
Thank you again