Is it permissible for a Muslim man to have a temporary marriage with a Christian or a Jewish woman and how do I conduct the marriage contract?
Yes, it is permissible if he is not currently in a permanent marriage to a Muslim woman. You may explain to her the meaning of the temporary marriage and then she can make you her agent and you can say on her behalf, I marry (her name) to myself for the period of (enter time frame here) for the dowry of (enter dowry here). Or she can pronounce the marriage contract and represent herself, in which case she would say, I marry myself to (enter your name) for the period of (enter time period) for the dowry of (enter dowry).