Mut'ah is a type of marriage in Islam which has conditions like the agreement of both man and woman, and agreeing on a fixed amount of Mahr (Dowry) and both should be Muslims ( if the woman is from People of Book, man needs permission of his Muslim wife. If the female is a virgin, she needs the permission of her father or paternal grand father.
Both man and woman must be mature enough and with their full senses, and willing and able to abide to all the rules of the marriage.
'Marriage aims to protect people from falling in sinful sexual acts, so, when a Baligh person fears falling in sinful acts and feels that Mut'ah marriage or permanent marriage can help saving him from sinful acts, he can go for such marriage after fulfilling all its conditions.
'Wassalam.