This is the case for Nova Hawthorne, who has been in a committed relationship with her partner James, but is allowed to sleep with other women, while James is a straight male, and is exclusively with her.
However she struggled when she was in a relationship as she would have desires for both men and women and told Metro: "I sometimes found myself falling for a woman outside of the relationship.
The term can refer to a man and woman being in an exclusive relationship and agreeig to be monogamous with eachother in regards to their partner's gender - but may be open to the opposite gender.
Nova identifies as bisexual, and says having the ability to still date and "occasionally" sleep with women helps her "honour" her sexuality, without "suppressing" a part of herself.
'I'm hetero-monogamous - my boyfriend doesn't care that I sleep with women' A woman who identifies as hetero-monogamous has dispelled some myths about her unusual relationship set-up.