The cell should hatch soon , if it is viable, once hatched she needs a few days to mature, a few days to mate , then in a few days to start laying, My guess is 3+3+4 days or 10is from hatch to first egg. as many as 14-16 is not uncommon.
Ok a second hive, Fiesty.... So you will likely order 2 or 3 queens when you find a place any way. Google Queen Bees for sale wade thru some web sites. For NJ florida would be a close ship. As Packages are shipping now someone is raising the queens.
With other bees you "can" add a frame with eggs in say 5 days, IF they make Queen cells they are queen less if they do not then they have one. So this is a fair test if finding her is not your forte. and you want to ponder things for a few days.
As well if this one is queen less you can just combine, However Big and Mean is not that optimal path to travel either.
So queen shopping...........
I would google "Honeybee Queen for sale Florida"
the first hit
https://www.heritagebees.com/MatedQueensandCells
I would look at a few sites, go for a gut feel or ask "bee friend"
If you want my advice.....
Get a couple or 3. Break this hive up into 1/2s or 1/3s here is the why:
I have better luck introducing to a small hive 4-6 frames, bad luck with 15-30 frames. If an intro to the whole hive fails in 2 weeks you are in the same place with no gain.
And if 2 of 3 take, you are out of the woods, the 1 split that failed can be added to the other 2, 1 frame a day and by the end of the week you have that project done.
Do look each frame over very good, virgin queens are good queen killers, if there are virgins in their you could be wasting your money. Another reason to do a 3 way split, even if you have a virgin 2 of the 3 should accept and the 3rd may have a virgin mate.
If you do buy queen to add cut off all remaining queen cells.
Now the other Fiesty hive,

2 or 3 ways to go.
option 1 If you like the queens you buy and the laying pattern looks good repeat the above. Kill the queen and split 3 ways.
Yes I know you now have 6 hives, if that is too many sell 1 or 2 as a NUC and recover some Queen $$
You do swaps as option 2 take one of your new introduced queens, give space, remove the fiesty hive from the bottom board, place the newly requeenened split there and move the fiesty hive to a new location, the other spot would do (where the new queen came from). This would move the feild force to the new queen and give that hive a boost, super and leave them alone. Wait 2-3 weeks and do it again with the other queen. So again steal the field force adding it to your new queen. Now the hive should have fewer bees, go in find the queen and kill it, could allow them to make one or requeen. with ordered Queen.
Look at some of the requeen threads, I see the site I mentioned has Cells, that could be a cheaper way to go, you will end up with local drones mating.
Just a matter of how bad the fiesty one is, 2 mated queens would be 70 ish bucks, split the hot hive requeen each 1/2 is an option. $70 ---stings , $70 stings,, your choice.
Remember it will take 21 days for the First bees to hatch from the new queens, 3 cycles like 90 ish days for the old fiesty bees to pass on to bee happy land or where ever they go , so post requeen you will not know till mid summer how it went.
Several options, If Mine, I Would
order 4 queen split both hives, smash the Q cell , kill the queen and place the new queen in with the cork IN. Wait 6 days for the queen rite hive, so the eggs have hatched, and the larvae are too old for queen making, then remove the cork and let the queen be released, the queen less hive splits watch the queen cage for 10 min after laying on top of the bars, if there is a virgin she may pipe or come up to see her rival, if the bees calm right down, then you are better off, un cork in 2 days.
good luck, let us know what trail you decided to head down and any other questions, some will have several answers so be aware there can be many forks in the trail.
GG