Miss that's eager to embrace love (5)
I believe the answer is:
avoid
'miss' is the definition.
(I've seen this before)
'eager to embrace love' is the wordplay.
'eager' becomes 'avid' ('avid' can be a synonym of 'eager').
'to embrace' is an insertion indicator.
'love' becomes 'o' (In tennis, 'love' means 'zero').
'avid' going around 'o' is 'AVOID'.
'that's' acts as a link.
(Other definitions for avoid that I've seen before include "Desist" , "Stay away from or circumvent" , "Evade - escape" , "Elude" , "Stay clear of" .)