Tents and rain seem to go hand-in-hand, but putting your tent away even slightly damp is a recipe for mould and mildew, and much larger problems for yourself next season.
To get ahead of the process, take a bottle of vinegar and about 50ml of eucalyptus oil with you when you go camping. This will allow you to prep your tent ready for the next trip even before you arrive home. But remember, this only works if it is not damp and raining. If the weather is not kind, you will need to put the tent back up somewhere dry when you get home and let it totally dry out. When it is absolutely dry, wipe all the surfaces with a mix of 50/50 white vinegar and water. Add peppermint water to this mix so it also smells lovely.
When you are done, add a little eucalyptus oil to a cotton ball and wipe around the tent so it will smell nice next time you put it up. You can also leave the ball in the tent bag, but ensure it is wrapped in a cloth so the neat oil does not mark the tent fabric.