Hesitated to rejoin Vera in the matrimonial state (7)
I believe the answer is:
wavered
'hesitated' is the definition.
(wavering is a kind of hesitating)
'rejoin vera in the matrimonial state' is the wordplay.
'rejoin' indicates anagramming the letters.
'in the' is an insertion indicator.
'matrimonial state' becomes 'wed' (I can't justify this - if you can you should give a lot more credence to this answer).
'vera' anagrammed gives 'aver'.
'aver' going 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)'" .)