Definitely primary care. They might refer you if it's complex/they can't get it under control - but they can try something first. I would only go specialist if you need a colonoscopy anyway/have a family history of esophageal issues (cancer, etc.)

Slight diversion ahead: Are you taking anything now? The reason I'm asking (and I'm only sharing my experience - definitely not medical advice) is that I was taking Zantac occasionally. I started needing it more, and my doctor wanted to put me on Prilosec. That didn't feel right to me. I took myself off Zantac and did a very controlled diet for 2 weeks (only meat/veggies). I then gradually returned to my regular diet. At first, I had occasional reflux (I took tums) - now I have none. I *have* learned that I have a slight intolerance to some dough conditioners found in cheap bread and pizza. Gluten is fine - good bread, pasta, etc. Just not the crappy stuff. So long as I avoid that, nada. I have gone back to my regular diet (with that one exception) without issue (though I am now tweaking it for other reasons). Rebound is definitely real - and you can get it while you're on the drug (at least I did).

Now - reflux isn't something you want to have long term - so definitely seek a doctor's opinion. I just wanted to share what happened to me since I was headed down the permanent medication route.