Rebecca Smith was a tactical officer who transferred to the USS Enterprise-D sometime in 2370.

She went on a date with Commander Will Riker shortly after being assigned to the ship. They ended up in the arboretum and became intimate, but the visit was ruined when Will rolled onto a Cypirion cactus and had to go to sickbay for treatment. (TNG: "Genesis")

This character was only mentioned in dialogue.
The script of the episode referred to the character as Rebecca White.