I respect people who can achieve this feat because they are determined and strong inside.
You won’t feel embarassed at all if you know you are giving your best and just be at peace. If you are happy parents will be happy and talk to them. I know this is special problem for girls because parents want them to settle early but talk to them and make them understand.
Are you feeling embarrassed because of your relatives or society please don’t let them have a slightest influence on you. If you love medical field you should’nt hesitate.