Definitions for "Sexual Selection"
The process by which members of a species acquire certain characteristics because of their importance in acquiring a mate.
Selection which promotes traits that will increase an organism's success in mating and ensuring that its gametes are successful in fertilisation. This is distinct from natural selection which acts simply on traits which influence fecundity and survival.
This is what is happening if an individual chooses a mate from a set of potential mates. For example, there are several kinds of birds where the males have enormous tail feathers. It has been proven (by experiment) that the females prefer the male with the largest tail. So, each of these species would have slowly acquired larger and larger tails because of sexual selection.
An evolutionary theory used sometimes in an attempt to explain gender differences.