I have a very similar masters degree and I would recommend against it. If you are interested in public health you would be better served by epidemiology or biostats. If occupational health is that interesting to you I would suggest "Industrial Hygiene."
Public health masters have a tendency to spend too much time focusing on public health in general (ie. you'll have to dedicate a class to each core discipline, but many of them are a joke [behavioral health]) and insufficient time on the hard skills that employers want. You'll look back a year later and say "why didn't I take more toxicology classes".
Look into the requirements to become a Certified Industrial Hygienist. I worked for an international, billion dollar company and the heads of safety were always CIHs. Type CIH jobs into google and its as far as the eye can see. There isn't a safety job out there that they wouldn't rather have a CIH. These guys know their safety and health and the letters don't come easy. There's a kick your butt qualifying exam, requirements in chemistry, biology, medicine, ventilation, radiation, and something along the lines of a 7 year on the job training requirement that you should have been dedicated to implementing safety and health.
Last of all - you absolutely need to get an internship if you spend more than a year doing it. All the energy companies (think Chevron, BP, Alcoa) offer EHS internships and they pay well. Look into it from day one and find out if your department head will help you. We had recruiters from oil companies interviewing every year.
