While you can be allergic, it seems an odd place to manifest itself.
If you ingested them, you'd most likely show other symptoms.
It you touched them, it would normally be where you touched them.
I have an allergy to strawberry leaves, and always get itchy wrists, and the back of my hands, but that's where I brush the leaves when if I pick them. I can eat the strawberries which no problem.
They are very sensitive areas, (well on me), mainly as its got less hair than anywhere else, so easier for leaves and things to touch.
Do you always get itchy wrists, as you must handle carrots daily?
Well the itchy wrists happen daily. I have used anthisan to try and reduce the itching. I went to the pharmacy and got some lorathamin tablets to reduce the reaction.