Like she's given up or on the brink of giving up on romance because any guy who she's looked at has been easily taken by her beautiful BFF or sister. 

In these titles the FL has a beautiful sister or friend, not sure if they really suffer because of it.

 kwoon:
Like she's given up or on the brink of giving up on romance because any guy who she's looked at has been easily taken by her beautiful BFF or sister. 

^ This doesn't align with your narrower ask above, but fits with the broader title for this thread. In Just Between Lovers, the FL's younger sister is prettier than her and even becomes a child model. The FL's mother (and everyone else) dotes on / favours her little sister. When the FL is a teenager, she accompanies her sister to the mall for a photoshoot. The mall collapses as part of a major disaster while the FL and her sister are there, resulting in the FL being trapped and injured (she's ultimately rescued but traumatized) and the FL's sister dying in the collapse. 

The FL and her family are greatly affected by the FL's sister's death. Her mother becomes an alcoholic and never really gets over the loss, and her parents effectively separate. By dying, the FL's sister becomes the permanent favourite daughter: frozen in time forever as young, pretty and innocent. It seems like, on some level, the mother might even blame the FL for surviving and "letting" her sister die when she was supposed to be accompanying her, even though the sister was the reason they were at the mall in the first place. The FL also sometimes blames herself for what happened and for resenting her sister (for being the pretty / favourite one) when she was alive. All of this causes the FL to suffer and be plagued by nightmares about her sister, even ten years later. 

Additionally, the FL was about to go on a date with her first love at the mall when it collapsed, and her first love ended up dying as a result of the disaster. The FL blames herself for his death and it's implied that all of that is a major reason why the FL doesn't pursue romance / stays single for so long after the disaster (in addition to the complications of dealing with her other trauma related to the disaster)