Baby pigeon

Hi looking for advice 

we managed to save 1 out of two baby pigeon in our garden from our dogs

We fed it initially first few days then mom returned so we have just been keeping it safe in the day (away from the dogs) and putting it in a rabbit hutch for safety at night for about 3-4 weeks now 

The trouble is it’s now wandering around the garden and it’s getting really hard to keep safe . It can’t fly and only appears to flap one wing the other remains still so I’m thinking it must have been damaged in the initial attack 

I’ve ordered some chicken wire to try and keep it contained from wandering  but open at the top so mom can still come. What should I do now?