Ten minutes is hardly long enough to tell your doctor about your emotional state, but writing a short list of the most important issues will save time and keep your doctor concentrating on how best to help you.
I feel it's very important you tell your doctor of having suicidal feelings. Their responsibility is to ensure your safety, but don't be alarmed or shy to tell them because doctors are very well trained to help their patient in the most gentlest of ways.
If however, you are dissatisfied with your doctor, then getting a second opinion seeing another doctor) is worth considering.
Do let us know how you get on.
Belle