Maybe, maybe not, if her death was supposed to happen that day maybe it would put things right regardless of how she died.
Ungrateful, or just resentful for him forcing something on her that wasn't meant to be.
So you're implying that her simply dying on that day lead to everything the Doctor talked about. "Okay, litlte Susie, nana appeared magically in the bathroom all that time ago and shot herself in the head for no apparent reason whatsoever. Doesn't that inspire you to travel in space?! I mean, she did it, too, and look how it turned out for her! Be just like your nana, baby!"
The whole point was that she was supposed to die
at the base, with the implication that despite not knowing the exact details, she was saving Earth from some horrific fate. Before the Doctor's intervention, she probably sent a quick message before detonating it. Not enough to say what happened, only to warn that it was the only way to save them all.
Regardless, she didn't inspire anybody by painting her bathroom with gray matter.