Zoloft (sertraline) An SSRI commonly prescribed to treat depression and anxiety can precipitate a tremor in some cases. Anxiety can cause tremor as well, so it's important to review w/ ur doc & compare to pre-treatment baseline. Hair loss is not a side effect that is commonly associated with sertraline. If you're experiencing hair loss, report this to your MD for proper work up as sertraline is unlikely 2 b related. .