I did a 150km ride when it was very hot and the handlebar tape and gel underneath melted. I ended up with numb little and ring fingers in both hands and couldn't hold a pen or a hairbrush properly. It took about a week or two to go away.

You have damaged a nerve or compressed it. They say nerves can grow back but very slowly.

So I would say go and visit a doctor if the numbness hasn't gone away or at least reduced in a week.

Other things to try-
Buy a new pair of gloves- try different brands, you may need more (or less) padding in different places.
Replace your handlebar tape and/ or gel. You may want to try padding up the handlebar and dropping the padding in your gloves.
Check to make sure your gloves or watch are not pressing into your wrist where your nerves run.
Also check your neck and shoulder area for any issues or compression.
Try going to a sports massage.
Stretch the arm nerve- turn your head away from the affected hand and turn your affected hand into your body while pushing downwards leading with your little finger. This stretches the nerve down your arm. (my sports massge person showed me this).
Try raising your handbars (either tilt them or a new angled stem) to try and take the weight off your hands and onto your saddle.

Hope you find a solution. Cyclists palsy is not fun and feels very strange and uncomfortable.