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 an anagram.
'in' is an insertion indicator.
'the matrimonial state' becomes 'wed' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'vera' is an anagram of 'aver'.
'aver' put inside 'wed' is 'WAVERED'.
'to' is the link.
Can you help me to learn more?
(Other definitions for wavered that I've seen before include "Fluctuated" , "'Vacillated, hesitated (7)'" .)