The reason Meredith is in Minneapolis is not for Nick. She was asked by Dr. David Hamilton (Peter Gallagher) to help cure his Parkinson's, which we are fairly certain she very nearly does. It's actually unclear where we are with his disease, but some groundbreaking medical leaps were made with David. They were so huge that he offered her a job that apparently pays quite well.
When Meredith was back at the cabin with Nick, she told him she wasn't sure she could go back to Seattle and be Chief of General Surgery after her success bringing the world one step closer to a cure with Parkinson's. She also brought up the idea of moving to Minneapolis while speaking with her daughter Zola (Aniela Gumbs), who told her mother she would follow her anywhere. All of this is building up to a possible move, despite the fact that we know Ellen Pompeo cannot leave the show just yet.
However, here's what could end up keeping Meredith at Grey Sloan Memorial. In a promo for Episode 15, Meredith is finally back in Seattle where she learns the residency program is in trouble and could be eliminated altogether. Towards the end of the teaser, Dr. Miranda Bailey (Chandra Wilson), is passionately yelling at Meredith about leaving. "This program raised you. I raised you," Miranda says, but she quickly collapses. It looks like it could be her heart.
Meredith Grey is loyal and caring, especially to the people she loves. We can definitely see her choosing to stay at Grey Sloan to rebuild the program that made her the doctor she is today, and perhaps maybe carrying on her Parkinson's research there. We just can't see Meredith leaving Miranda and the place where she learned who she is.