Shocked

"Where did you meet this fine gentleman, Mitsuha? Were you keeping him a secret from all of us because of his breathtaking visuals?" One of her friends that this Ms. Tadashi doesn't seem to be comfortable with.

"Mr. Kim, I know this is a sudden question and might be rude since we only met this afternoon, but can I ask if you have someone in your special right now? Or are you in a romantic relationship with the person of your choice?" Well, it is rude for someone who you just met only for the first time. And then suddenly ask about your relationship status. 

Not only that, but they asked something personal without any acquaintances or anything that might deepen your relationship. But she did apologize in advance regarding the matter, so maybe it's polite to respond to her question because nothing is going on in my romantic relationship status.