The incident took place yesterday when the two brothers, identified as Nijamuddin and Furkan, along with their friend Shahid, went to meet their sister Furkani at her house.
They demanded water from her and when she came near them, they shot at her, Daurala police field officer Brijesh Kumar said.
Furkani was admitted to a hospital and her condition is stated to be serious, Kumar said.
Furkani had married Ravindra, who belonged to another community, four years back, despite opposition from her family, Kumar said.
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A case of attempt to murder has been registered against the two brothers and Shahid on Ravindra's complaint, the officer said.
One accused has been arrested while efforts are on to nab the other two who are absconding, police said.
In apprehension of tension in the village, extra police force has been deployed, Kumar said.