Can hair dye damage permanently the hair root and cause hair loss? (photo)

In short, probably not. If the dye you are using is extremely harsh and/or you used it incorrectly it may cause some damage, but you would definitely notice some side effects on your skin such as redness, itchiness, burning, or even a chemical burn if your dye is killing the hair. If you are concerned you should consult a dermatologist.

Most patients have no reaction to hair dye. Occasionally, a dermatitis or folliculitis can occur from dye leading to temporary shedding. Very rarely, there can be permanent loss from scarring. Hopefully, this is not the case. You should see a hair restoration physican for an examination and further advice. Best of luck.

The answer is yes but it is not common. I would need to know the whole story and see your scalp up close and know all your blood tests results. If you don't have redness, itching or increased hair shedding, it is rather unlikely - but please see a physician specializing in hair loss. A biopsy can sometimes be helpful in more challenging clinical presentations of hair dye reactions.