Welcome to allnurses!

We're glad to have you here!
What you describe is a med error, technically, but it's not anywhere close (by itself) to what it would take to endanger your license.
People get in trouble with the BON and lose their licenses either because they did something
really dangerous that caused serious harm to a client, or because of a
long pattern of "smaller" problems that the nurse isn't able to fix/improve (and keeps making the same mistakes).
That other nurse is just being mean to you,
and she's talking out of her hat. If your facility fired everyone who made a (single) med error, there wouldn't be any staff working there! I doubt v. much that there will be any serious consequences of your incident (unless, of course, there is some other reason that your co-workers are looking to "get" you -- I hope that's not the case ...)
Even if, somehow,
bizarrely, you
did get fired over this incident, that would not keep you from getting other jobs.
Lots of nurses get fired from jobs (for reasons worse than your incident!) and just pick up and go on with their careers.
Please don't spend too much time or energy worrying about this!