Question: does supergirl have a love interest in the comics

Answer: Yes, As part of The New 52, Kara's origin was rebooted once again. An amnesiac Kara awakens after her lifepod crashes to Earth in the midst of a meteor shower. Upon emerging, she encounters humans and the extent of her powers for the first time. When encountered by Superman, she attacks him, believing him to be an impostor as her cousin was only a baby when she last saw him, and she believed it to only have been a few days since then. After several battles with supervillains, including the Worldkillers, superweapons of Kryptonian design, she accepts Krypton's destruction, but continues to grapple with her grief. Her desire to restore Krypton results in her being manipulated into nearly destroying the Earth by another Kryptonian whom she falls in love with. Upon realizing his manipulation, she kills him by driving Kryptonite through his heart, and succumbs to Kryptonite poisoning.