That sounds like a hang I've been seeing from TortoiseSVN as well. In the end I had to disable its Icon Overlay shell extensions using ShellExView. (The context menu extension is fine.)
I did some investigation and it looks like TortoiseSVN is deadlocking itself when asked to do two thing at once, or something like that, but I didn't investigate in depth beyond checking that Opus did not seem to be involved. (Haven't gone to the TSVN source code or anything like that yet.)
Opus can show the same overlay icons in a separate Status column (if the option to do so is enabled), so for me there wasn't any disadvantage to disabling the Icon Overlay shell extensions, and I haven't had any issues since.