Just to put it out there straightforwardly:
You can have dysphoria and be trans.
You can not have dysphoria and be trans.
You can have dysphoria sometimes and yes, still be trans.
I fall into the third category myself. I'm an odd duck here, being AFAB and forcibly raised against my will as male by my father. On top of that, I have one of the most severe cases of PCOS my diagnosing endo had seen in 30+yrs of work. I actually got asked if she could bring in her medical student because it was rare to find a patient with such noticeable physical markers for the disorder. (Mom being a nurse 'n all, I said yes, because I knew I'd find out more info that way than otherwise!) So, I had a puberty that was in some ways half male and half female. Lovely screw job to the head, that one.
So my dysphoria is very much tied to my facial hair, though there are other things. Even though I identify as female, periods are dysphoric. Go figure. But they aren't all the time. Sometimes they're just meh, annoying things, and don't bother me so much.
But.
That doesn't make all the other times that they do bother me any less real.
I hope that helps. *love and cookies of choice offered*