That would most likely be Freyja, who was accused of sleeping with almost all the gods at some point (by drunk Loki, so it might have just been exaggeration).
She was married to Od(r), but he was gone most of the time on trips (and also may have been Odin in disguise).
She also may have been the catalyst for the Aesir-Vanir war.
Lady Freyja is considered a Goddess of fertility, not lust at all. To my knowledge the Gods believe in monogamy,
marriage and most of them are married. Even though there is drama in the myths involving adultery it was one
of the All Fathers rules, sins or laws, he had these codes of honor tattooed on him, (on his fingers?). Odin has a code of
honor and sins tattooed on him (his fingers?) and in another story I have read he
systematically breaks them himself.
Loki's accusations began his tribulations along with his antics. He also called the
Goddess Idunn a "****" in front of everyone infuriating her husband. Loki's drama
also involves some debauchery, yet he also represents in monogamy with a wife.