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And, even if they do, they may not change the cat. Once you are in in a "good enough" cat, it takes some initiative to get that changed.
I'd suggest submitting to the new cat, and adding a "Note to Editor" in the description box. Tell 'em your hopes for the site. You may get lucky.
With one, a client site is already listed in a very limited category and will be dropping most of that line. Other products are being added, and as of right now and the coming month, the whole focus will change to a broader one. The current category won't reflect the true nature of the site.
With another, a potential client wants to start with one of many products - related to pet memorials. That's a small part only, and once the rest is put up over a couple of months the pet category also won't reflect the product line. So I have to decide whether to suggest putting it all on or go with the limited inventory which will not be good if listed that way.
Same with a site of my own - focus now is on one area, and the eventual theme of the site will put it in another area. So I'm not submitting, thinking it might be better to wait.
If it is only submitted but not listed yet, then I'd resubmit to the broader category right away, possibly with a notice as victor suggested. Most likely, this will be in a parent category of the other one, so that whoever edits there will be able to dispose of the first submission as well.
In general, while it is advised to submit to only one category at a time, changing your mind later is not a crime either. You need more than two parallel submissions to seriously annoy anyone at the ODP.
Then rewrite the description and resub to the appropriate cat, may even be worth while, emailing the editor of that cat and telling them the life story of the site, its evolution and be very nice. Should sort you out.
1. Ask the editor of the original category to change the category, clearly indicating the new category and the reasons for change.
2. If the original category has no editor assigned (or if he is a "sleeping" editor), it is almost certain that step 1 will have no effect. Then go up the ODP category tree until you find an active editor. Send him an email explaining that step 1 did not work and asking him to implement the change. Worked for me.
I personally think waiting is not a good strategy, it is often easier to get moved to some category than to get listed there directly.