Definitely a vet, birds hide injuries and illness to the best of their ability and symptoms of internal injuries, concussion, or sudden death(in our eyes) could happen several days later
ABSOLUTELY true.
Birds are a prey species, and even in their own flocks they will hide any condition.
When Rusty broke his toe and bled, he would stare at me while trying to hide his leg, even though I could see the blood dripping.
I was able to clot it and get him to the vet pronto...
With luck, the bird hit by the fan only has minor injuries, but I would definitely call and make a visit - they'll do, amongst other things, x-ray scans and see if anything serious is happening internally.
Birds are remarkably robust, but anything humans can do to help never hurts.
And accidents happen, which is the saddest aspect to it all.
I hope your conure is improving...
In your situation, I might turn up the heat as little as well - or asking the vet if it's a good thing to do; warmth can be soothing and helpful... if the normal temp is 73F, turn it up to 80... warm water, anything to let it recuperate... I've read up a little, but never had to do anything like that. But in a room that's 70F or 80F and if I were ill, I'd probably appreciate 80F a bit more...
JenConure, please keep us updated. May your fid heal... sending good vibes your way.