I'm not entirely certain that 2 days is enough to fertilize the egg, but if she was with males where you got her from, there is a good chance it is fertile. She will most likely continue laying ~one egg a day, and if you leave the eggs in the cage, there is a chance that she will try to incubate them once she has 4-10 eggs. 
Some buttons never show interest in incubating their eggs, but if they have good hiding places and are not stressed, many will. Incubation is supposed to take about 16 days, but don't toss the eggs just because it's day 20 and you still haven't seen any chicks - it took 21 days for one of mine, 18 for the other.
If she doesn't show interest in incubating her eggs, you will need to collect them every now and then. If they haven't been in there for too long, you can eat them. They are supposed to taste really good. I've never tasted the eggs from mine though - I usually leave them in the cage for about 10 days before collecting if there is no hen incubating them, and I find this a little too long for human consumption, even though they are probably good.
I have 3 hens and where as at least two of them do go broody, they don't do it every time they have 10 eggs, so sometimes I have piles of eggs in the cage I need to collect ^^
Make sure she has extra calcium - egg laying quail needs more calcium than what there is in most feed. You can boil her eggs, mash them up with shell and feed them back to her, if she doesn't incubate them. They usually love boiled eggs and the shells will get her at least some of the calcium she needs.