it doesn't hurt to give appliances 20-30min to cool down, every 24hrs if i remember i try to give everything a chance to cool down, this should help the longevity, and also mitigate a overheat/fire issue, like
@Hudson2384 said, if you're worried just buy another fan, worth it just for the piece of mind, and you'll have this for a spare if the other one dies, but as long as you have a name brand or something you trust, if it breaks, it assume there is fail safes on most UL, ETL rated stuff. I feel you though, I'm pretty iffy about by appliances from the internet.
But most of my fans, are bought online. I mean if you really wanted to you could mount it in a "homemade" oven, toss it in a bbq or something, and have the ducting in one side, and out the other, with the fan itself contained in a fireproof container lol probably should stop smoking.