Provide food for a pet with hesitation (5)
I believe the answer is:
cater
'provide food for' is the definition.
(catering is providing food)
'a pet with hesitation' is the wordplay.
'a pet' becomes 'cat' (I've seen this in another clue).
'with' means one lot of letters go next to another.
'hesitation' becomes 'er' (sound used when hesitating).
'cat'+'er'='CATER'
(Other definitions for cater that I've seen before include "... you'll see minister" , "Provide what is required" , "Provide food and drink (for an event)" , "Supply food for social event" , "React (anag.)" .)