Hi VerySplendid,
This alert is very similar to that of the one above. An inline script has been inserted into the end of the javascript file that you see in the alert.
It points to the malicious domain seen in the image, which the network shield blocks.
This is definitely not a false positive and the site has most likely been hacked in the last couple of days judging from your description.
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Also, when I typed 'JS:Illredir-CI[Trj]' into google & attempted access to this forum, I got the google warning thing saying that this site was (sorry I'm working from my patchy memory..) unsigned or maybe untrusted site, something like that? I added a one-time exception so I could read the thread.
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This would be because the link you were given by google was a https link, so it would be secured. The reason that you are warned, is that the certificate is self-signed.
Using https is not needed to view the site, you can just take the s off the https and it will work just as fine...just that some people prefer having the secured connection.
-Scott-