[2][3] Conalty trained for the ministry at the South East Institute for Theological Education; she was ordained deacon in 1999, and priest in 2000.

[6] She attended Cottage Lane Mission church and was a member of the youth group, before taking a Biblical Studies degree at the University of Sheffield.

[2][7][8] Although she felt called to ordained ministry as a teenager, women could not become priests in the Church of England at that time.

[5] She began her ecclesiastical career as a non-stipendiary minister (ie, part-time and unpaid) in the Diocese of Southwark, while continuing to work in probation and youth services.

[10] In 2010, Conalty left her secular career and moved into full-time ministry,[3][11] becoming associate priest of the Plumstead Common United Benefice.

[12] In 2023, she was one of 44 Church of England bishops who signed an open letter supporting the use of the Prayers of Love and Faith (i.e. blessings for same-sex couples) and called for "Guidance being issued without delay that includes the removal of all restrictions on clergy entering same-sex civil marriages, and on bishops ordaining and licensing such clergy".