Kingdom in Asia Minor developed daily (5)
I believe the answer is:
lydia
'kingdom in asia minor' is the definition.
The definition suggests a singular noun which matches the answer.
'developed daily' is the wordplay.
'developed' is an anagram indicator.
'daily' anagrammed gives 'LYDIA'.
Can you help me to learn more?
(Other definitions for lydia that I've seen before include "Daily it's a girl's name" , "Roman province" , "'Love for --' (H.E. Bates)" , "where Croesus was king" , "girl" .)