It is possible for evolution to be influenced by choices that individuals make concerning which individual to mate with or even which offspring to pay more attention to

This sort of evolution which is influenced by choices that individuals make concerning which individual to mate with or even which offspring to pay more attention to is considered behavioural isolation, where an individual isolates himself or herself from other individuals he/she does not fancy.

The more specific term for the former is sexual isolation.

Hope this helps! :)