What computer? What network? If it says it isn't connected, then something is wrong and it will never authorize in whatever way...
Authorization should just take a few seconds.
Don't go down the 'not authorizing' path; it will lead to lots of complications in the future.
One possible reason for authorization problems is anti-virus or firewall preventing the appropriate internet connection.
Try temporarily disabling them to see if that helps; or checking for firewall exceptions.
(I seem to remember seeing Kaspersky mentioned in particular, but might apply to any.)
I am on Vista and I am connected to the internet. I am on a laptop and was able to authorized on a desktop on Windows 7 with no problem.
It is about installation but give some help on authorization.
Also, may be worth trying v1.7.2; though despite the myriad bugs there are on V2.0, I haven't seen that one come up before.
Version 1.7.2, it is a little difficult to find, available on Adobe site for Windows and for Mac.
The forum software is sometimes corrupting the link above. There shouldn't be a blank in 'editio ns.html'. The following redirects to the same page: http://tinyurl.com/diged172