Dear {individual or entity},
It is with deep apologies for my lateness that I attach my submission for your consideration.
I deeply wish to {attend program/win prize/etc.}. Unfortunately, I {had personal emergency/conflated with another deadline/need to gather additional materials/etc.}.
I am confident that you will find my materials to be complete, with all elements given the attention the deserve. If you are able to overlook the unfortunate timing of my submission, I would be most appreciative.
Thank you so much for your consideration, and I apologize again for any inconvenience.
Sincerely,
{Name}
Attachment: submission
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