Female with her own quarters (4)
I believe the answer is:
hind
'female' is the definition.
The answer and definition can be both animals as well as being singular nouns.
Maybe there's a link between them I don't understand?
I cannot understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for hind that I've seen before include "posterior" , "Rear - female deer" , "Female animal; at the back" , "A female deer, situated at the back?" , "Be much better than (someone)" .)