...I think some of you are misreading the knight here. I don't sense "tsundere" or "pushy asshole." Granted, this is only a single chapters, but I think it's more likely that the guy is a warrior that didn't have much free time and probably was not encouraged to chase after wenches and whore about the town. His experience with women seems... "limited," shall we say. I think he's not tsundere or an asshole, but he's just an idiot, an inexperienced and dense idiot. As evidenced by him getting all excited about the exiled girl and having some food she cooked and getting overheated like a Samsung smartphone at the mere thought of being more than friends with a girl. He doesn't know he was scary, he doesn't know that the MC doesn't know he's not there to keep tabs on her because he was ordered to, he's just dense. He doesn't realize that he's not being romantic and that showing up as a knight with a giant fucking sword and telling the banished former Duke's daughter, "I WON'T LET YOU RUN AWAY!" and scowling while telling her that you've purchased a home nearby to keep tabs on her isn't romantic... but probably pants-shittingly scary for most girls. He probably assumes she knows he's attempting to court her.
Basically, it's a reverse density of your average harem MC. Instead of being too dense to start, he's too dense to stop. Still dense, just a different kind of density.