Hi, that's a b***h about the extractor, man I would be sending that back for a replacement, in the meantime you have 'done' the right thing in keeping that bulb as cool as you can, well done there thinking ahead! The bulb WILL get hot regardless it's how we limit the effects of that in our environment, as long as you keep cooling the bulb and have the environment at the right temp you should be 'cool' but definitely look into a replacement just for peace of mind, your plant won't notice the difference as long as the environment is still in check until you remove what could be a potential fire hazard with the bulb getting too hot, all the best, hope this helps happy growing 👍