You and Me Magazine publishes personal essays about individual experiences as a medical patient. They also publish some articles from provider’s perspectives.
According to their submission guidelines:
“You&Me America’s Medical Magazine seeks non-fiction articles, preferably from a first-person perspective, about the human aspects of dealing with all medical issues, from the life threatening to the chronic to the so-called “trivial.” We do not want all happy endings or all sad endings. We can use some health-care provider perspectives as well. We do not want or use informational articles. We also cannot use any third person articles unless they are about the personal impact the writer experienced dealing with the medical issues of a spouse or close family member.”
They don’t ask for exclusive rights, and they do pay for reprints as well.
They pay 4-5 cents per word for articles 1,000-2,500 words. To learn more, read their submission guidelines.