Can a divorced Muslim marry a single Catholic in the Catholic church?

"Can a divorced Muslim marry a single catholic in the catholic church?" - Well, I think the question has two important aspects.

I'm not exactly somebody with any real authority in the Catholic Church, however, I think the real issue boils down to the decisions made by the priests or cardinals in whatever particular diocese you are in. There is no papal decree which states that divorced Muslims cannot marry Catholics, just like there is no papal decree which states that divorced Anglicans cannot marry Catholics, however, it is important to note that as a Catholic, I do not really accept the modern liberal notion of "get married, get divorced, get married again" as a real model for social or family life.

Muslim's are allowed to marry Catholics, fact; Divorced Muslims are also allowed to marry Catholics - however, it is up to the individual priest, and perhaps even Cardinal, as to whether the marriage has the potential to last, and whether they will allow it in their own diocese. What I will say is that I hope The Catholic Church does not support the modern notion of "Get married for the sake of it" - which is what leads to so many divorces in the first place. Marriage as an institution doesn't get the respect it deserves in modern society, and divorce, if there is no reason other than "I don't like them anymore", is a modern ill that is diluting the institution of marriage.

ANSWER:

Good question. First, my guess is that your first marriage (to a Muslim in the Islamic faith) would need to be annulled by the Catholic Church. Not certain though b/c you are not a Catholic at all.

We Catholics/Christians are not supposed to "yoke ourselves to unbelievers." Same for Jews and same for Muslims.

You would be required to agree any children from this union in the Catholic faith. Need to contact first a priest at your intended's neighborhood parish/church. The priest can direct you.