Though social relationships and bonds are known to affect sex, most animals don't have social relationships. They meet, copulate and leave. Baboons, for instance, have a matrilineal social system where females stay within the family they are born into and males wander. Dominance is passed from mother to daughter even though an individual male is physically more powerful than the most capable female. Severe aggression is uncommon although males may use their superior strength and fearsome teeth to intimidate isolated females who lack a male protector.
Chimpanzees are dramatically different.
These parties are patrilocal. Here the males stay and the females leave and tend to be more solitary. Violent male-male competition occurs between groups, although it would be inaccurate to say that status within the group is unimportant or is not gained by physical force. When females ovulate, males can be very demanding of sexual favors and will use their greater strength to obtain them. Bonobos have societies where the strongest bonds are between unrelated females.