when you go for your medical, it depends on the doctor who is assessing you.
if he sees u r suffering from depression but thinks it is under control due to medication and is not serious, then he will issue a clean paper for you i.e a healthy medical report but may mention you are using medication.
as long as you are given a clean sheet you should be fine.
try yoga as it ll help you relax and help you prior to your medical tests.
hope it helps.