In January 1711 Sir Constantine Phipps, the Lord Chancellor of Ireland, took on Trapp as his chaplain, and Trapp wrote partisan political pieces, incurring scorn from Swift.
From 1714 to 1722 he held by the gift of the Earl of Peterborough the rectory of Dauntsey in Wiltshire, and through the interest of William Lancaster he obtained in 1715 the lectureship at the church of St. Martin-in-the-Fields, Westminster.