The Little bird is coming out from the Egg!

I was cutting down the long branches of the tree in the Miri house garden and I found this nest with two eggs. I held one and examined, it broke. I saw the furry creature and it was moving. 
"Oh, my goodness, the little bird is prematurely coming out after my disturbance!" 
I put back the nest on the higher part of the tree. 
I do not know what type of bird it was and whether it could survive.
Many neighbouring cats were roaming on the floor.