Bardot, say, dodges unruly head of state after congress (3,7)

'bardot say' is the definition.
(Brigitte Bardot)

'dodges unruly head of state after congress' is the wordplay.
I cannot really see how this works, but
an anagram of 'dodges' is 'goddes' which is located in the answer.
'congress' could be 'sex' and 'sex' is located in the answer.
A single letter 's' remains which might be clued in a way I don't understand.
This may be the basis of clue (or it may be nonsense).