Short answer:
It's technically a null question, as all of the benefits of being hidden are already granted by the target being blinded. But to directly answer: Yes, as it is not explicitly noted as an exception to the general rule of revealing yourself when hidden, but it shouldn't affect things.
Long answer:
There are a few parts of this to acknowledge. First I believe should be the benefits and situation of being hidden. The benefits of taking the Hide action and hiding is becoming unseen and unheard, by being quiet and ducking behind something, which grants you advantage against them as they can't see you, and them disadvantage to attack you (If they otherwise know you're there to logically attack you) because again, they can't see you (Basic rules, unseen attackers and targets). However, given the target is blind and deafened (Automatically failing sight and hearing based checks, as they can't see or hear) you don't need to take the hide action in the first place in regards to that creature, you are 'hidden' by default.
Overall, being 'hidden' is not really a condition, or anything with an affect. However, you are at all times unseen and unheard by a blind and deaf creature. Functionally the same as just being blinded, except they can't find your 'area' by hearing, as with Invisible creatures where they are assumed to be making readily-audible sounds unless a stealth check is made.
Now addressing the attack itself, attacking while hidden would reveal you, so anything capable of hearing or seeing (or otherwise sensing) would obviously spot you as normal, but the blind/deaf creature could be ruled a few ways because it isn't explicitly said, but two stand out to me as the most apt to use. Either one, it doesn't because it auto fails the supposed check to see an obvious, no-longer-hiding creature attacking, or two, it does reveal you but you are immediately hidden again because you are unseen and unheard. In either case, ultimately being 'hidden' itself is never technically it's own benefit, since it is only a path toward the benefit of being unseen while attacking, which is already covered by being blinded.