pup
female sheep
pup
The palindrome for a female dog is called a "bitch." In this context, a palindrome refers to a word that reads the same forwards and backwards, but "bitch" itself is not a palindrome. A true palindrome related to dogs would be a playful term like "dog" which reads the same way in reverse, but it doesn't specifically refer to a female dog.
Pup
pup
female sheep
pup
Pup
pup
pup
A palindrome of a very young child could be "civic," which reads the same backward as forward.
pup
peep
Tut
A simple palindrome for a very young child could be "mom" or "dad". It will be easy for them to grasp and remember.
tot
peep