Rabia was grazing her goat in Chinhat Kotwali area when she touched a bag hidden in the bushes with a stick triggering the explosion, Inspector Vijaymal Yadav said.
The bag contained an explosive device which went off, he said.
Another crude bomb was found in the area which was defused by the bomb disposal squad, Yadav said.
The injured woman had been referred to a trauma centre, he said.