Towel it down 1st, open everything up doors vents etc, leave for a few hours whilst you pack everything else up, then open back up at home to dry out for even longer, better over safe than sorry, mould and mildew will make your tent horrible on the inside, is bad for anyone who's got asthma or any respiratory problems and a nightmare to get rid of. if its a small tent then you could set it up in a room in the house to dry out.
In addition to the above good advice you can turn it inside out and dry draped wherever at home or put in the garden and prop open with chairs etc placed strategically to get an airflow inside...
------------- Love our set-up and need no more tents or gear, so trying to stop looking!
I aren't lucky enough to have a garden. No doubt the reason I love camping so much
Whenever I have to break camp with a wet tent, it just goes in a bin liner and then when I get it home I hang it in my coat cupboard with a dehumidifier. The next morning it's always bone dry. Then I pack it away till next time.
One way to minimise overnight condensation inside the tent is to sleep with as much ventilation as the weather allows - if it is not too cold and you have sufficient privacy then keep outer doors open as much as practical.
On the morning of departure, get bedding out and remove the inner(s) as early as possible. Leave striking the fly (outer) until last.
As soon as the fly is emptied of bedding and inners, mop up the worst of the condensation with a microfibre cloth, synthetic chamois, or (at a push) paper kitchen roll.
If the tent is self-supporting (as many smaller dome tents are, unpeg it and rotate it to maximise the warmth of the morning sun.