i am a social worker, not a psychologist, but there are a lot of part time gigs doing therapy that require a psychology or social work background. If you belong to a professional organization the website probably has job listings- for me it’s the NASW (you can check them out, they post positions for psych positions too). It does make a difference in terms of where you live but part time work can be found in your field. I currently work a part time job with a lot of flexibility and do not think I could go back to regular full time social work. I am sorry you are dealing with this, I know how stressful it can be. I would try to take FMLA time personally, it sounds like you are at a breaking point and need time.