Dear {Name},
Thank you again for wanting to include me in {event/gathering}. I feel like I should expand on why I declined your kind invitation.
The truth is, I {have social anxiety/am wary during the coronavirus pandemic/etc.} I should have been upfront with you when you extended the invitation but I {was embarrassed/worried you would judge me}.
I hope this doesn't affect our {friendship/family relationship/business dealings}. I would very much like to get together when I feel more comfortable with the situation.
Sincerely,
{Sender}
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Index of letter of apology templates