They say female nurses have such an advantage of numbers in part because both men and women prefer them. the women suggest that a female nurse will make them more comfortable, or, less uncomfortable, and the men have no such concerns.

So, request a male nurse, request a male doctor.

Look i'm just a bit shy around the ladies, it would make me more comfortable if you had a male staff member who could help me.

Create a demand for male medical professionals, and the supply will increase.