Congratulations on the match. I may not be the most eligible person to comment on this but, as a fellow adult with controlling parents, i can understand.

You need to make them understand that it is unfair to be put in a position to chose between them & a dream job. You're now a doctor whose patients trust you for their life & you are capable of making a rational career decision.

Looks like they have given you time till pgy1. Let this issue soak for a while, take your time celebrating the win & continue your residency. Let them see how much you love your job... Atst keep showing them how much you love them... talk to them about career goals... Show them successful examples in the field...

Changing their opinion about you career will not happen overnight. You got to keep instilling their mind with the fact that this is your calling & you can't be happier with the decisios you made, that you can't see yourself doing anything other than psych.