Seeking therapy

Hello, so I'm currently a nurse and I'm still in school furthering my education.
As you all may have experienced the anxiety that comes with working as a nurse and being in school is pretty high. Along with working and going to school, I have a few other personal problems that I am trying to work through. But I feel like nothing has changed. So I wanted to seek a therapist and just have someone who's unbiased and listen to me vent.

I told my mom about the idea of going to therapy and told me that I shouldn't do that because no hospital would take me or the board would find me as unfit.
Mental health has a strong stigma that you're mentally unfit to care for yourself and others.

I was just wondering if I was to go see a therapist through my work insurance would it affect my license or my career in any way?