I'm not sure a swimming caps the answer, though I like his thinking!!! I'd at least tie it up
Out of the way.
I wouldn't do anything but lay your hand on her as perhaps a substitute. The theory ring you can GW your hand - so effectively, your transferring the hair twisting to the hand - so something like no you don't need to touch mummy's hair, mummy's right here and apply the hand to her so she can physically understand the difference. She may not like It at first but perservere and she'll get there.
Great start my lovely xxx