Well, you can make her the harem's fluffer then. Imagine how hot it would be, to see this prideful Heiress of the Known Universe diminished to MCs cock-servant - she'd have to lick and suck his cock after he cums, until it's hard again, and while he fucks his favourites, she'll have to entertain other harem members with her mouth.
BTW, here's another idea about the harem. In the original books Paul is to connected to sietch Tabr, I feel - both of his wives are from there, his mentor/father figure is from there etc. That's understandable considering the circumstances, but after all the Fremen proclaim him as their messiah, I imagine all the tribes would want some connection to him. In fact, Balsamique's BtD fixes it somewhat, giving him a girl to screw in every sietch. So in your game at some point he too could get all the girls - Khaira, Anbarin, Zakiya etc - every sietch would send him a woman of his choice as their "representative" concubines. All the children from that woman would be send back to her sietch, so that there'll be blood of Muad'Dib in the veins of that tribe.
After the battle for Arakeen, when the story would transit to "Dune Messiah", this breeding program could be expanded to the whole Empire. All the planets, all the Houses will have to send their women to Paul's court as a tribute. Men would be slaughtered in the Jihad, their women would be bred by Atreides seed. (Perhaps there should be
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in the emperor's harem - with Chani and Jessica forming the first tier, the other Fremen women in the second tier, the Great Houses women in the third tier, and concubines from the regular planets in the fourth tier.) Circling back to Irulan - perhaps instead of being the Royal Chronicler she can take the office of Royal Breeder. Any woman of the Empire can come to Arakeen and request to be impregnated with the Emperor's seed. The process is as follows - Paul fucks any woman he chooses in any orifice he chooses, and after he cums, Irulan would have to suck the cum from the aforementioned orifice and, through a special thin glass tube inserted into petitioner's cervix, spit the cum inside her uterus, ensuring 100% pregnancy probability. I mean yeah, they could just send the sperm to different planets by ships, but it's more fun this way (plus you can't trust the Guild in such matters).