[7] Snow studied chemistry at Sheffield University,[4] graduating with a Bachelor of Science (BSc) degree in 1989.

[8][10] Snow was made a deacon at Petertide 1995 (2 July) by David Lunn, Bishop of Sheffield, at Sheffield Cathedral[11] and ordained a priest the Petertide following (5 July 1996) by Michael Gear, Bishop of Doncaster at his title church (St Andrew's, Brinsworth).

[10] On 25 September 2013, Snow was consecrated a bishop by Justin Welby, Archbishop of Canterbury, during a service in Westminster Abbey.

[18] In May 2016 Snow was one of six bishops cited in the Guardian and Church Times as subject of Clergy Disciplinary Measure complaints owing to their alleged inaction on a disclosure by a sexual assault survivor.

[21][22] From October that year, Snow sat on the Church of England's National Safeguarding Steering Group (NSSG).

[31] Snow has been outspoken on issues of racial justice including 'taking the knee' outside Leicester Cathedral in July 2020[32] and speaking at a conference on the subject of Whiteness.

[34] In November 2023, Snow abstained during a vote on introducing "standalone services for same-sex couples" on a trial basis during a meeting of the General Synod; the motion passed.