αγέρωχη is the feminine version of the adjective αγέρωχος.
This adjective comes from ancient Greek and it means "proud","imposing" or "arrogant".
Examples = αγέρωχος άντρας = proud man
αγέρωχη φωνή = imposing voice
αγέρωχη στάση = arrogant attitude
I think it means brave. I've seen this word in related context.