Kiss Me Deadly(2008)

Mitsubachi no Kiss

Kei isn't any ordinary woman: with a touch, she can see inside a person, to the things they've done and will do. This unique ability has lead her to work, in isolation, for a secret government agency. Unable to take the trauma anymore, she escapes. She will need to learn how to live among normal people without being touched, to appreciate the good parts in life even as she can see the ugliness within. And throughout it all, stay off the radar of the agency that wants her back...

The series was discontinued at 2 volumes, but each volume tells a standalone story arc.