At least you're doing better than columnist Dave Barry did.
In my experience, nearly everyone has a very primitive part of their brain that starts screaming "You're drowning!" as you hang out underwater at first. When I first started diving, my conscious brain has to throttle that panicky voice by reminding myself that I was fine because of my gear, training, etc. After a while, your unconscious brain will recognize scuba as "normal" and stop trying to force you to bolt to the surface.
If you can clear your mask (which really freaks out some people), I would be very surprised if you didn't eventually get used to diving. Tell your instructor that you'd like to stay shallow for a while to build up confidence, and re-read the sections of your manual that explain how to dive safely so you're reminded about how to solve any problems that may occur on a dive like you describe. Panic happens when people think they can't handle a situation.
In my experience, nearly everyone has a very primitive part of their brain that starts screaming "You're drowning!" as you hang out underwater at first. When I first started diving, my conscious brain has to throttle that panicky voice by reminding myself that I was fine because of my gear, training, etc. After a while, your unconscious brain will recognize scuba as "normal" and stop trying to force you to bolt to the surface.
If you can clear your mask (which really freaks out some people), I would be very surprised if you didn't eventually get used to diving. Tell your instructor that you'd like to stay shallow for a while to build up confidence, and re-read the sections of your manual that explain how to dive safely so you're reminded about how to solve any problems that may occur on a dive like you describe. Panic happens when people think they can't handle a situation.