Those look like Neutrik RA connectors which can be adjusted to lots of different angles. As long as the XLRs aren't too close toether (and they don't seem to be), then you should be able to adjust the angle of the connectors. I've never tried doing this on an already assembled cable, but as long as there's a little slack in there, you should be okay. Remove the pair of screws and peek inside. The XLR barrel piece can be lifted up a few mm and turned 90 degrees, and dropped back into place.
- Jason