Hesitated to rejoin Vera in the matrimonial state (7)
I believe the answer is:
wavered
'hesitated' is the definition.
('waver' can be a synonym of 'hesitate')
'rejoin vera in the matrimonial state' is the wordplay.
'rejoin' is an anagram indicator.
'in the' is an insertion indicator.
'matrimonial state' becomes 'wed' (I can't explain this - if you can you should give a lot more credence to this answer).
'vera' with letters rearranged gives 'aver'.
'aver' put within 'wed' is 'WAVERED'.
'to' acts as a link.
Can you help me to learn more?
(Other definitions for wavered that I've seen before include "Fluctuated" , "'Vacillated, hesitated (7)'" .)