I do not believe there is a name for that...
Verlobter (male) Verlobte (female
A man who is engaged to be married is commonly referred to as a "fiancé." This term is used to denote that he has formally committed to marry his partner. The female counterpart is called a "fiancée."
Male fiancé, female fiancée - though fiancé is often used for both sexes in English.
engaged female is a fiancée engaged male is a fiancé
The female is referred to as the "fiancée" when engaged to be married. The male is referred to as the "fiancé" when engaged to be married.
fiancé fiancée is the female equivalent
A bacchante is a priestess of Bacchus, or a female bacchanal - a woman engaged in drunken, noisy riots.
It is called your 'affiancy'
enaged to be married (describing a male) = me'orás (מאורס) engaed to be married (describing a female) = me'oréset (מאורסת) engaged with a task (describing a male) = asuk (עסוק) engaged with a task (describing a female) = asuká (עסוקה)
"Kiss of the Damned" by female Director Xan Cassavetes.
A female pigeon is called a hen.