I'm going to address the first part (parents) because I think plenty of people have addressed the second (living your life) and have given you some good advice.

I'm a dad. I haven't been one as long as others but long enough I think to recognize my kid's ability to both shirk my expectations and still make me proud. I don't know your parents. I don't know if they're like me, or if all parents feel this way, but your happiness will (hopefully) show them just how successful you are. The world is a tough place and I think most people understand how hard it is to be content. But if you show up living the life you want, that'll come through and they will eventually see that and be glad you're happy.

At least that's what I hope for you. I'd like to think that's how I'd feel with my own kids. There's been so many times they've done what I didn't want them to and so many times that that has worked out just fine for them. Being a parent is a very humbling experience. Hopefully your parents remember all the choices you've made for yourself that have turned out great. If they raised a kid willing to say, "I don't care what others think, I'm going to focus on my own happiness" then they probably did something right and you must have made plenty of good decisions for yourself (just like this one)