Accepted into a broader program??, psychology

[JArather]

Hello!

   I am currently attempting to make some decisions about graduate school. I was admitted to one program on Friday that is under a broader title, but I would be in a developmental/psychology track working with a PI I really love and who is trained in developmental psychology. However, my biggest worry is that my PhD will not be in psychology or developmental psychology it would be within "health sciences". I am not sure how much this matters for postdocs, or future academic pursuits (getting a position within a psychology department role). My research would be psychology based, I would be taking psychology courses, etc. Any ideas? Is this stuff the most important?

 

Thank you!!!