Hi Liana,
Your post brought back memories for me. I received a letter about renewing my licence just after my first chemo too. Fortunately I was able to get the photo done just before (the day before) my hair started to fall out. I had had my hair cut short but not shaved thank goodness!
Everytime I have to use my licence for ID I remember how "lucky" I was with the timing. My hair felt "dead" (itchy and like straw) at that stage but I still looked like "me". Ahhh .... the added complications of everyday life with this process! :)