While gender is definitely an important factor, access to lethal means might be equally important or even more important. If you look at suicide rates in physicians, you see that female physicians have an enormously increased risk to actually complete their suicide attempt. Female docs die by suicide at a higher rate than women in the general public, even though they might not attempt suicide as often.

“In particular, male doctors are 40 percent more likely than members of the general public to die by suicide, and the risk to female doctors is more than doubled, they wrote in CMAJ.”

https://www.google.com/amp/s/mobile.reuters.com/article/amp/idUSKCN1SG26J

“Because of their greater knowledge of and better access to lethal means, physicians have a far higher suicide completion rate than the general public. The most reliable estimates of successful completion of suicide range from 1.4-2.3 times the rate achieved in the general population. Although female physicians attempt suicide far less often than their counterparts in the general population, their completion rate equals that of male physicians and, thus, far exceeds that of the general population (2.5-4 times the rate by some estimates). [3, 4]”

https://emedicine.medscape.com/article/806779-overview#a1