<The fact that she wants me to change my Rabbi for her shows that she doesn’t value Daat Torah. Don’t you think so?>
No. If she didn’t respect rabbanim in general, if she saw no occasion to consult with rabbanim ever in life, if she didn’t look to the views of gadolim on the major matters affecting the community, if she didn’t respect Chazal (heaven forbid) that would be another matter.
You are under no obligation to follow any one rav, particularly in personal matters, particularly if he isn’t a major figure.