This is just a pipe dream.
Rose had no intention of finding a partner, she was merely teasing Charles.
The lust poison was merely a trivial matter. As a Succubus Princess who mastered divine arts, she had resolved the issue long ago.
At the very least, she wouldn't be like her sisters, who let their lower halves do the thinking.
Regarding Lilith discovering Charles, Rose wasn't lying. Because her mother was indeed such a doting parent. Nearly all of Rose's friends and acquaintances had been roughly assessed by her mother through secret method.
But because her mother was a Twelfth-Tier Succubus Queen on the verge of becoming a demigod, she couldn't use avatars or similar methods to snatch people under the oppression of the Continent of Overlord.
Otherwise, her bed would have long been filled with beautiful women and handsome men.
After all, Rose was a sucker for good looks and didn't like playing with unattractive people.