Splint on throwing thumb

Question
I have a player who needs to wear a splint on her throwing thumb. It is essentially a small rubber plastic brace. The doctor suggests that when playing she use a batting glove over top to ensure it does not move around. The brace is on her throwing hand (right hand in this case). Is this permissable in game play for this medical situation?
Response
Assuming the splint is properly padded and the player is NOT pitching, it would be allowed.
A splint may be worn, if padded. Rule 2.6.
There is no rule to prevent a player (other than the pitcher) from wearing a batting glove on her throwing hand.