I think that it really is way too early to introduce any corals, fish, etc... into your tank as it is only 10 days old. It typically takes a month or more for a tank to cycle (unless you used completely cured live rock...your levels might be low now because of the water change). Even then, most people don't reccomend the hardy corals until about 3 months after it has first been set up.
I could be wrong but the likliehood of that coral surviving is really jeopardized. Also, what kind of lights do you have on your tank?
I am no nano guy but a 10 gallon tank is going to present quite a few challenges as it is a very small system and problems can be amplified with such a little amount of water volume. Not to say it can't be done, but it is more difficult than say a 55 gallon in my opinion.
I don't really know where to start as far as suggestions are concerned. I guess the first thing to say is that you did come to the right place as the members here are very knowledgable and have a number of years experience under their belt. Your best bet is to read as much as you can possibly read and plan what you think might work best for your tank. Pending you can find a home for the frogspawn, I would wait out your tanks cycle for a few more weeks and then start with a cleanup crew. Then from there you might want to consider corals.
So to answer your question, the frogspawn is pretty hardy but that is all relative. No coral (or most anything) is safe in an uncycled tank.
If you have questions, then by all means ask as we are all here to offer up our advice.
Take er easy
Scott T.