OP she was ridiculously rude and you are right to take your business elsewhere
just to echo AngelinaFibres point that it isn’t actually a good solution for the nail tech to do a shorter appointment for a latecomer. It runs the risk that they will give you shit quality/ unfinished work that you could then photograph and use online to give them a bad review
But 5 mins is not the end of the world and she has lost a good regular customer with her attitude!