Coxe became a leading theological voice among the Particular Baptists. He was proficient in Latin, Greek, and Hebrew, and trained as a physician. In 1677, the London Baptist elders commissioned him to respond in print to the heterodox views of evangelist
Thomas Collier. Coxe's resulting publication,
Vindiciae Veritatis, was praised for its clarity, theological rigor, and humble tone. His peers wrote that he had "behaved himself with that modesty of Spirit, joined with that fulness and clearness of answer and strength of argument" that made the work a powerful antidote to theological error. In 1681, Coxe published two additional works:
A Sermon Preached at the Ordination of an Elder and Deacons in a Baptized Congregation in London and
A Discourse of the Covenants that God Made with Men Before the Law. The latter became his most influential theological work.
Charles Marie Du Veil, in his 1685 Commentary on Acts, referred to Coxe as "that great divine, eminent for all manner of learning" and described
A Discourse of the Covenants as "excellent," containing "most weighty and solid arguments." == Physician and public figure ==