The difference between Engage and Fiancée

Engage is also verb with the meaning: to engross or hold the attention of.

Fiancée is also noun with the meaning: a woman who is engaged to be married.

check bellow for the other definitions of Engage and Fiancée

Engage as a verb (transitive):

To interact socially. To engross or hold the attention of; to keep busy or occupied. To draw into conversation. To attract, to please; to fascinate or win over (someone).
Engage as a verb:

To interact antagonistically. To enter into conflict with (an enemy). To enter into battle.
Engage as a verb:

To interact contractually. To arrange to employ or use (a worker, a space, etc.). To guarantee or promise (to do something). To bind through legal or moral obligation (to do something, especially to marry) . To pledge, pawn (one's property); to put (something) at risk or on the line; to mortgage (houses, land).

Examples:

"They were engaged last month! They're planning to have the wedding next year."
Engage as a verb:

To interact mechanically. To mesh or interlock (of machinery, especially a clutch). To come into gear with.

Examples:

"Whenever I engage the clutch, the car stalls out."

"The teeth of one cogwheel engage those of another."
Engage as a verb (intransitive):

To enter into (an activity), to participate (construed with ).