Switching HRT effects on hair?

I am currently on injections, but unfortunately, since they are no longer available in my country, I will have to switch to tablets. Is this okay, and could this change cause some kind of hormonal shock to my body that might trigger hair loss or something similar?
I am really scared about this, so I would really appreciate hearing from someone who may have gone through the same thing, or at least knows a bit about it, just to give me some reassurance.

I really hope I will be able to switch back to injections soon.

Thank you all so much. 💕