Baxter's duties included serving as personal physician to the President of the United States. He attended James A. Garfield's family, but was out of town when Charles J. Guiteau shot Garfield in July 1881. As a result, Baxter did not examine Garfield following the shooting or treat him during his subsequent illness. By the time he rushed back to Washington, Doctor Willard Bliss had taken charge and would not let Baxter see the wounded President. According to contemporary accounts, Bliss stated that Baxter was attempting to see Garfield out of a desire for personal glory and fame, a charge which had the effect of causing Baxter to minimize his involvement so that Bliss would not seem to be correct. In fact Bliss had only recently been readmitted to the District of Columbia Medical Society, which had expelled him in 1870 over his advocacy for African American doctors to be admitted. In addition, he had been expelled over willingness to consult with homeopaths at a time when most medical professionals were allopaths and disdained homeopathy. Having been readmitted to the Society so recently, Bliss likely maintained his lead role in Garfield's treatment as a way to restore his own reputation.