Suicidals do not neatly pack their bags and set them by the front door in anticipation of flying home the next day. They do not get on their computer and pay for airline reservations that they know they will never use. They do not call their parents and chatter on excitedly about finally finishing school and getting their degrees.
Correct -- they also don't bury themselves in shallow graves afterward ... this woman most certainly did not kill herself.
Suicidals don't do a lot of things rationally. The math points to suicide. First, there's more suicides than murders so right out the gate the odds are suicide. Second, the woman lost her lover. Third, the woman lost her job. Fourth, the woman was forced to return home to face family and friends as a failure. Fifth, she wasn't coping well, visiting the Holocaust Museum of all places. Sixth, she was not a jogger or hiker, she researched a secluded spot. I'm making a decision based on very limited information, but if this is all thats considered the logical conclusion is very clearly suicide. The math is so overwhelming that I'm willing to bet my money on it.