IPA: /mɛˈtɛstrəs/
KK: /mɛˈtɛstrəs/
The time after a female animal has been in heat, during which she is not sexually active.
After the mating season, the female dog enters metestrus and will not be receptive to males.
Metestrus is formed from "meta-" (meaning after or beyond) and "estrus" (from Greek "oistros", meaning a state of sexual excitement or heat). The term refers to the period following the estrus cycle in animals, indicating the phase that comes after the heat period.
Think of 'after' ('meta-') the 'heat' ('estrus') — that's why metestrus refers to the period after the mating season.