As long as you have everything ready to go, with all the documents in your hands, you can submit it the day after the wedding
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I know I advised not to do it on the day of the wedding, but that was really because I didn't want you to end up rushing it in the excitement and accidentally missing something important.
Did you find out when you will receive the official marriage certificate? That's going to be the main thing that decides when you can submit it, because I would wait until you have it in your hands before submitting.
Bear in mind also, that going into the summer, processing times aren't all that quick, even with priority (probably about 2 months), so, really I don't think waiting a day or two after the wedding is going to make much difference in terms of how quickly you can be together again.
It's best not to rush things, and instead apply when you're completely ready (and only you will know when that is), rather than set a specific date that you want to apply on
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