Had my first issue today :/

Tigger

If the clutch hasn't fully disengaged into neutral then your car would be moving when you let off the clutch and might stall. Not sure what kind of noise you are hearing either. There should 't be any noise associated with it unless you are shifting.

My guess is, you had a close call and you asked your car to do something that was a quick reaction type of thing. You are probably just hyper-aware of any noise now because you believe you did something wrong. Dropping the clutch like you did isn't going to burn it and if you had synchro rev on like you said then it was already matched to your engine speed. The smell is likely just tires. You aren't going to burn up your clutch just getting out of someone's way.

Let the car cool down. Drink a cup of tea. Relax. Take it out again later and drive around like normal and don't try to listen for things that are/aren't wrong. I'm sure everything is fine.