She didn't last long enough to get impeached. She quit for some reason. The evil media she despises so much was going to expose something on her.
She didn't quit for some reason. She quit because liberals filed frivolous lawsuit after frivolous lawsuit and tied up her staff in complying with massive discovery requests. The office of the governor simply ceased to function due to litigation. Palin saw that it was hurting the state so she resigned.
I'm giving you the benefit of the doubt with assuming that you really didn't know why Palin resigned. She was sued because the label on her jacket was visible. She was sued because she sent a thank you note. She was sued over everything, real, imagined and outright fabricated. At the time of her resignation 27 lawsuits and complaints had been filed against her. All but one was thrown out and she won the only complaint that made it to trial.
Even though the lawsuits were eventually thrown out, but before they got to that point, they had to be litigated. The cost to the state was enormous. She was right to resign. She had no choice. The choice to waste taxpayer funds was not a choice.