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, it doesn’t show that. There is no indication from your posts that she doesn’t respect rabbis.
Also, how is your question even relevant to the discussion? You wrote:
She said that she doesn’t mind if I stay in touch with him and ask him for his advice
and
she said again that she doesn’t mind it if I talk to him
so she’s not even asking you to change your rav; she would just prefer that her own questions be taken to a different rav.