But she will not tolerate a man who tries to change who she is. From the wide spectrum of responses here, it's clear she could mean almost anything. I assume it means non-intellectual. I must be bitter and cynical like drjimmy11, because if someone were to describe me as "down to earth", I would interpret it as, "You seem stable enough that I can use you to provide things for me and you probably won't run me off or assert your independence for a good while. They are honest, respectful and fun to be with In the context of what you say about your profile, might she mean "not materialistic"?
I do get that it's a compliment.
11 Things to Expect When You’re Dating the Down To Earth Girl
The phrase has more specific connotations than just vague goodness. Fighting is not something that comes naturally to her. In a message in response to my OKCupid profile, a woman told me that my profile makes me seem "down to earth". No matter how others perceive her, the down to earth girl is comfortable with her body. Low-maintenance, even-tempered, accessible, unpretentious, laid-back, not overly concerned with appearances or status.