Is it true that prophet muhammad is a sex maniac?

prophet Muhammad is often imaged as a sex maniac because having 11 wifes. this is very cruel accusation. ten from the eleven women married by the prophet is old widows. The purpose of the prophet by marry them is to teach laws of islam which studying about women’s matter like menstruation, child bed, etc. in other words, to make mistresss in the field of law of syara' which very required by womankind. why? because during the period the woman shy to ask about problem of family and femininity to the prophet. That’s why the women enquiring to his wifes.
The second reason why prophet Muhammad has 11 wifes is to protect them. Most women married by prophet muhammad are impecunious women, old widows, and slave. Abu Jahal and Abu Lahab, two prophet muhammad arch-enemy which none other than his own uncle, have offered beautiful women of noble faction, extravagant riches and properties, and high social status if prophet muhammad willing to discontinue his mission. But prophet muhammad reply: “though the sun put down on my right hand and the moon put down on my left hand, I will not discontinue this mission before I reach the victory or I die as syuhada.”
If prophet muhammad married 11 women which mentioned above just because he wanted their estae, or to fulfill his sex desire, hence he would have accepted the offer Abu Jahal and Abu Lahab. Logically, if you becoming prophet muhammad, you'd accept the offer oh Abu Jahal and Abu Lahab, Don’t you.?
If prophet muhammad married 11 women just to fulfill his sex desire, hence it would not be enough for 11 wifes and the liife of prophet muhammad will only filled with searching new wifes.
If prophet muhammad married 11 women just to fulfill his sex desire, hence islam will never expand like the recent time. Why? Because prophet muhammad woud not had time to spread the taught of islam and his time only filled to sleep and made love with his wifes.
If prophet muhammad married 11 women just to fulfill his sex desire, hence in a short time those women will ask for divorce as they only use as sex slave. In fact, the family of prophet muhammad confessed by many people as the most glorious family.
It is clear that accusing prophet muhammad as sex maniac is non-based and cruel accusation.