Please allow me to apologize for the terrible first impression I gave you at the {event} on {date}. I've been looking forward to meeting you for a long time, and I feel as though I came off as {uninterested/obnoxious/unprofessional}.
I'm very sorry if I gave you the wrong impression. I was very {tired/tipsy/distracted} at the time. If I hadn't been, I would have liked to ask you about {subject}. Is there a time next week we could meet up to discuss it? I'd like to treat you to {coffee/lunch/etc.}.
Sincerely,
{Name}
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Index of letter of apology templates
