Males die of suicide more often because they use more successful methods. It makes sense that a female doctor would be much more successful than the average female due to her education.
Agreed. Randomly and anecdotally, I am reminded of Iris Chang, who was a famous author responsible for our knowledge of the Rape of Nanking.
Her cause of death was brutal, and she was going through immense pressure during her last research project. A self-influcted gunshot to the mouth sounds like a horrible way to go.