Switching ob

I was looking to switch obgyn at 34 weeks due to my hospital not allowing partners . I called and realized that many hospitals around me still offer partners so if I have the option I’m going to opt to go there . I told my ob my concerns and she said if I was gonna switch to do it right now because it’s not fair to her ...I asked if she could refer me to a specific hospital and she said that she cant and that my family doctor would have to . But when I call my family doctor there saying that they can’t refer and that my ob must , there also saying that no one will take me this late and how if they were me they would stay.

I’m getting annoyed at this point because this is my first pregnancy and I don’t know why everyone’s being so difficult . I even asked if I could just stay with my current ob and at the time of birth just go to the hospital of my choosing .