– WeloveManga is a site that hosts raw manga. You can try searching on that platform directly using the Japanese title: 「今時代にご満だった城さまと同棲生活は意外と居心地が悪くない」
“Surprisingly, Living Together with a Spoiled Princess from Another Era Isn’t So Bad”
Since this is a raw manga, the dialogue in Chapter 1 is crucial. Even if your Japanese isn't fluent, the kanji usage is generally standard for this genre. The banter between the male lead and the Jou-sama carries the story. The title promises that the "comfort level isn't bad," and the first chapter delivers on that by showing a genuine, albeit rocky, start to their relationship.
If WeloveManga does not yet have uploaded, try these alternatives for the raw version: