[2] After leaving the university in 1700 Boulter served as a chaplain to several prominent individuals, including Sir Charles Hedges, the Secretary of State for the North, and Thomas Tenison, the Archbishop of Canterbury, before being awarded his D.D.

Boulter was controversially offered the primacy of the Church of Ireland in 1724, William King, who as Archbishop of Dublin was the natural successor to the title, being passed over due to his opposition to the Toleration Act, although the official reason was his age.

[3] He did not always get his own way on judicial appointments: the Dublin-born John Rogerson (1676-1741) was made Lord Chief Justice of Ireland in 1727, over strong objections from Boulter, who apart from the question of nationality, disliked him personally.

His failure to veto the appointment has been explained by the fact that no English judge was willing to take the position (in addition Richardson was a very rich man, and no doubt supplied financial inducements).

In 1731 he submitted the findings of the Inquiry into Illegal Popish Schools by the House of Lords, which was set up "to prevent the growth of Popery, and to secure this Kingdom from any dangers from the great Number of Papists in this Nation".