As that is a Combined List I cannot tell if you are attempting to use an Apple ID that happens to be an Hotmail ID (which will not work) or whether you have registered your Hotmail id as an AIM Screen name (which should work)
Apple Issued ID (@mac.com, @me.com and @icloud.com) are Valid AIM Screen Names as well as Apple IDs due to an long standing Agreement between Apple and AIM.
However in these cases the password with Apple needs to be kept to 16 characters or less as the AIM servers cannot read longer ones.
If you registered the Hotmail name at AIM you would have been limited to 16 characters in the Registration Process.
The Yahoo implementation introduced in iChat 6 does not accept Hotmail/MSN/Live IDs the same way the Yahoo for Ma app does.
(It also does not do A/V chats).
Please, if posting Logs, do not post any Log info after the line "Binary Images for iChat"
iMac 2.5Ghz 5i 2011 (Mountain Lion 10.8.2)
G4/1GhzDual MDD (Leopard 10.5.8)
MacBookPro 2Gb (Snow Leopard 10.6.8)
Mac OS X (10.6.8),
Couple of iPhones and an iPad
"Limit the Logs to the Bits above Binary Images." No, Seriously