I believe awacsd is the daemon for "Apple Wide Area Connection Service" which is effectively part of the Back To My Mac product. So it's pretty safe to authorize it for all outgoing connections.
If you want to stop the daemon I guess you'd have to deactivate BTMM.
You're right, Kiwi, but it's not just BTMM. I disabled BTMM and it still occurred.
I finally got a Senior Advisor, Taylor, at Apple to answer this. Three previous technicians claimed they'd never heard of this issue.
AWACSD is, indeed, Apple Wide Area Connectivity Service Daemon. It is a function of MobileMe. It doesn't pertain to BTMM only, but to a world of connections such as Calendar, Contacts, Synch, iWeb, etc.
Taylor explained that this a a form of handshaking between MobileMe and your Mac. If the connection is disabled by your firewall protection, you will see many malfunctions in anything MobileMe-related.
hello.connectivity.me.com is a platform established in OSX 10.6.6 that will later support other added services.
Funny. The third technician thought I was worried about the government seeking contact with my computer ("just who do you believe is trying to access your computer?") and treated me like a weirdo until I explained the research time I'd spent on this and told him I knew this was an Apple connection. Only then did he pass me along to his superior. At least he learned something.
And maybe this helps someone else who's bugged by these repeated requests for access. Allow the connection and it's over with. Yea!
Thanks, this finally closed the subject for me. The other answer that will be my "second resolution" is to remove Norton Security software from my Mac (it is software supplied "free" by Comcast). In the words of the Level8 support guy "uninstall that worse-than-useless (Norton) software."