I am inclined to announce girl's name (6)
I believe the answer is:
eileen
'name' is the definition.
(I've seen this before)
'i am inclined to announce girl's' is the wordplay.
I cannot really see how this works, but
'i' is present in the answer.
'girl' could be 'eleen' and 'eleen' is present in the leftover letters.
No letters remain.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for eileen that I've seen before include "Girl's name" , "woman" , "Girl" , "F. name; nee Eli (anag.)" , "Female name (not beginning with A)" .)