Oh good, here comes the rich boy tropes.
What do you think we can expect? Arrogant attitude is already a given when it comes to nobility's brats, but what other bullshit awaits us?
Honestly, I'm expecting after all is said and done, a personal vendetta will have the noble break into the mansion and get their shit pushed in by a silky child. Also on the table: cheating. Stupid fukbois not realizing that you can cheat your physicals, but a real fight isn't going to be so forgiving. And finally expecting teacher girl to gain an attraction to the MC, to the dismay of our loverboy, harem tag is there for a reason.
I'm sure I can go on, but I'll leave some to be desired.