I wouldn't want to be labelled as a professional photographer in today's society. My wife gets shots with her iPhone that make me cringe considering the amount of money I have invested in equipment...some of them are that good. This emboldens everyone to be a critic...."I could get just as good a shot on my phone....why are we paying him / her?" I would hate to have to constantly convince myself I was doing a good job. At that point, the enjoyment is lost, and you might as well find a job that pays better.
Technology, to a degree, has become the great equalizer. When I was making a living at photography, there was a distinct 'dividing line' between the general public and a pro. It was (I like to believe) fairly easy to see. I was able to do things with a camera and film that presented as a level of expertise. There was a degree of knowledge and precision required. Pro grade equipment was required. There was study, trial and error, and rigor applied to the process. I am mainly talking about the technical aspects of photography here, not the innate talent one may have in their 'eye'.
To illustrate, the sheer volume of amazing images on photo sharing sites is astounding. Is it that EVERYONE got better? No. Technology got better, and the layman doesn't really know the difference. In the past, there may have been just as many amazing compositions that were otherwise ruined by poor exposure, bad film emulsion or wrong film choice, lousy equipment, whatever. Remember, there were a number of years where the average camera that average people took with them was a 'disposable'. Fixed focus, fixed aperture, fixed shutter speed, and a plastic body and lens. Even a cheap smartphone is leagues away from that....and it allows you to edit / correct / enhance on the fly.
To the OP: I would say call yourself whatever makes you happy or inspires you to take more photos.