No the labels don't stay with you for ever especially if you get treatment and show that you can handle stress. What does worry me is that you want to work in the medical field and indicated surgery as your speciality. You would need to show that you can handle the huge stress involved with that. Such as working extremely long hours, dealing with death, having compassion for patients and relatives etc.

I hope you can come to a realisation that mental health issues are indeed real, get treatment and then you can live a life with less anger and bitterness. It's better to work with it than against it. Good luck.