Put off, with bombs laid? Resolute! (10)
I believe the answer is:
determined
'resolute' is the definition.
(similar in meaning)
'put off with bombs laid?' is the wordplay.
'put off' becomes 'deter' (both can mean to discourage).
'with bombs laid?' becomes 'mined' (as in a mine field).
'deter'+'mined'='DETERMINED'
(Other definitions for determined that I've seen before include "firm" , "Firmly decided" , "set" , "With full strength and concentration" , "settled" .)