Inspire a new way to beat her (7)
I believe the answer is:
breathe
'inspire' is the definition.
(I know that inspire is a more specific form of the action breathe)
'a new way to beat her' is the wordplay.
'a new way' is an anagram indicator.
'beat'+'her'='beather'
'beather' anagrammed gives 'BREATHE'.
(Other definitions for breathe that I've seen before include "use aqualungs, perhaps" , "wheeze" , "Draw air into, and expel out of, the lungs" , "Tell" , "as wine may be allowed to do" .)