Another definition of "evangelical," Luther's original meaning, is a believer whose faith is based upon the Gospels. In other words, a Bible based faith.
Evangelicals really torqued the more conventional Anglicans not only because they tended to be drawn from the lower and middle classes rather than being "gentlemen," but also because of their emphasis on a personal, public conversion, charismatic preaching, and aggressive enforcement of Sabbath-keeping (Trollope has a field day with Mr. Slope and Mrs. Proudie forcing their views on the poor of Barchester). Sabbath-keeping was thought to be the province of the (Presbyterian) Church of Scotland, and enforcing it aggressively was considered a species of busy-bodying and bad form, particularly since the Anglican church was supported by the government and everybody was taxed for it. Anglicans were suspicious of charismatic preaching and too much emotion in the services, because many suspected the sort of "pastor-worship" that sometimes grows out of it. When the Wesley brothers and George Whitefield attracted hysterical crowds and women fainted below the pulpit, the old-line Anglicans went, "Tsk, tsk! You see?"
This sort of general feeling has carried on into the Episcopal church in America, even though the church is not state supported and (as Kipling said) "they's no gentry over there - they's only rich and poor allowed."