Low state of mind daughter’s thrown off (3)
I believe the answer is:
moo
'low' is the definition.
(both can mean to make the noise of a cow)
'state of mind daughter's thrown off' is the wordplay.
'state of mind' becomes 'mood' (one's mood is one's state of mind).
'daughter' becomes 'd' (genealogical abbreviation).
'thrown off' suggests deleting specific letters.
'mood' with 'd' taken away is 'MOO'.
(Other definitions for moo that I've seen before include "Irritating woman" , "unpopular woman" , "Low (of cattle)" , "Bovine low" , "Cow's low" .)