Yeast Sedement confounds process

I bottled a batch of American Amber Ale just the other day and ran into some trouble. When syphoning off my beer into the bottling bucket, I had transfered everything but about 24-36 oz when my syphon slipped and kicked up quite a cloud of sedement.
No sedement made it into the bottling bucket.

I would like to recover the last few beers if possible but am guessing that they are probably goners. If I wait long enough for the sedement to drop out again, will my beer already have been ravished my oxygen? Any thoughts?

You said "no sediment made it into the bottling bucket."

So I guess it's not clear to me what the problem is.

If some trub got stirred up into suspension, it will drop back out in the bottle. You'll just have to pour carefully.

I usually mark the last 6 bottles or so of each batch. Since they're a little more likely to have some gung in them, I make sure not to share them or give them as gifts or anything. In fact, I usually open them first, when I know the beer is probably not at its peak yet, anyway.

Put the rest of the batch in 1-2 liter soda bottles, so you can see the yeast when you pour. Add a little extra sugar & burp them after a day or to to exhaust the oxygen. Drink this first.