My PhD supervisor and I didn't really see eye-to-eye on a lot of thing but I had thought we got along well anyways. I have graduated and have decided that academia isn't for me and I want to go into the private sector. I am having a very hard time finding a job, and I am not being picky. I am applying to industry scientist jobs and also for positions like sales reps or administrative roles. The truth is I am desperate.
Although I don't get many interviews one of the places I got far along with checked my references and said my PhD supervisor said she couldn't recommend me for the position, as I had problems with communications skills. It may be true that I am awkward, but I don't think that I am that bad. I also have my MSc supervisor as a reference and another professor in my department that worked on a group project. Now I have asked my department head to be a reference as he was also on my committee. Each of these people seemed happy to be a reference but so did my supervisor.
Is it a red flag that I don't list my supervisor? I can try to talk to her but I don't know what to say. I feel like my life is falling apart, I have to get my parent's help to pay rent and I'm worried my girlfriend will break up with me as it has been causing a lot of stress.
What can I do?