There have been studies of suicide mortality in Canada. As Dr. Rodrigues said, these focus on prevalence rates. They may also be broken down by length of service, age and other factors, but they do not focus on explanatory factors.
In Canada, the suicide mortality rate among female veterans is 1.8 times the odds in the general Canadian female population. For male veterans, it's 1.4 times.
What I'll make clear is that male veterans still have higher rates of suicide mortality than female veterans, which is also the case in the general population, but the rates are higher among female veterans compared to the female Canadian population.