The point I'm making is that sexual desire alone can't lead to rape, and it's also often not the primary motivator for such. Most people have sexual urges, but most people don't rape anyone if they can't and/or don't have consensual sex.
On the other hand, no one rapes unless they have sociopathic tendencies, anger issues, or a desire to exert power over others against their will. You have one thing that's constant (sexual desire) and another that's variable (sociopathy/anger issues/etc.) between two people; if one of them rapes someone, I think it stands to reason that the variable will be the cause, not the constant.
Most people won't rob a bank at gunpoint if they don't have money. But it's fair to suggest that lack of money is a motivating factor in robbing a bank at gunpoint.
Most people would try to get a loan... ask friends and family... get a job... etc...
But the bank robber isn't "most people". He can't get what he wants, so he finds a way to take it. It's criminal, there's no justification for it.
I'll repeat this, there is no justification.
Why when offering a possible motivation does it get turned into an accusation of justification?
Similar to the bank robber being motivated by a(n extreme and/or desperate) lack of funds, the OP suggested that at least some rapists are motivated by a lack of sex. When he can't get what he wants legally, he'll find a way of getting it illegally.
At no point does this position try to excuse the rapist or place blame on the victim.