You're fine, dumping it in is going to cool it off as it falls, touching any sanitizer residue is going to cool it, the minute the first few ounces of beer is racked onto it, it's going to cool, and when the rest of the 5 gallons of liquid hits it,
it's going to be cool.
For the benefit of all the new brewers out there,
you will not kill your yeast with your priming solution. There's a ton of yeast in suspension in your beer when you rack it, regardless of whether you secondaried or not. Even if a few little yeasties were damaged intitially,
there's still plenty more to do the job.
Carbing is not mysterious, it's not something that is "touchy." The majority of the time you see a carbing issue in this forum,
is purely impatience on behalf of the bottler. He's not waiting long enough. (3 weeks @ 70 minimum for normal grav beers) A higher grav or a lower temp will mean it takes longer. That's really all there is to it.
You can't screw this up, except by not adding your sugar to begin with. (of course the amount of sugar determines the level, but that's a different story.)
I'll say this again, your sugar will mix properly, and the temp of the priming sugar at the temp you add it doesn't matter. All these things that people think affect their bottling/carbing DON'T.
So don't worry about it. Just give your beer enough time in an above 70 environment, and
your beer will be carbed.
