Are you sure the whole program was removed? Check to see if your utorrent settings and torrents are still present in "C:\Users\<User Name>\AppData\Roaming" There should be a folder there called "utorrent". Try redownloading utorrent from http://www.utorrent.com/
and see if that fixes the problem.
Also, I uploaded the file to virustotal and it didn't look like AVG detected it, maybe it is a behavior blocker detection or the utorrent file you downloaded may have been fake.https://virustotal.com/en/file/93b92e20d422bc8f4273fe5a910e1a8c812dd56391f161eaf00f0ad52dbdd16a/analysis/1491504634/