The move follows former education secretary Justine Greening, who had been in post since July 2016, quitting government yesterday (8 January).
He also lavished praise on Mr Hinds, the man who took her place at the Cabinet table, who is already being touted as a possible future PM, with Michael Gove calling him "incredibly impressive".
But in her role as education secretary, Greening was particularly at odds with Catholic bishops in the United Kingdom over her personal objection to removing the cap on new faith schools' admissions.
Justine Greening quit government last night.
There were few changes to the Cabinet line-up following the reshuffle after the Prime Minister kept the majority of ministers in their positions.
Geoff Barton of the head teachers' union ASCL said he was disappointed that outgoing Cabinet member Justine Greening, a former comprehensive school pupil, had been replaced by Mr Hinds, who was educated at a Catholic grammar school in Altrincham before heading to Oxford's Trinity College where he studied politics philosophy and economics.
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He said he shouldn't comment on things, which are beyond his constitutional mandate. He is a professional and I have no doubt about his professionalism.
There are 2142 Catholic schools in England, which accounts for about 10 per cent of the national total of maintained schools. The Church has stated that this regulation forces it to violate Canon Law, as it means over-subscribed Catholic schools would have to turn away children because they were Catholic.
Conservative HomeDamian Hinds has been appointed as education secretary. He is a long-time supporter of faith schools.
Mr Timothy, who quit his role at Downing Street after the general election, says the new education secretary, Damian Hinds, "must be fearless enough to do that, to ensure universities are better, fees are lower, and young people get the technical or academic education that suits them".
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Following the news of his appointment, Mr Hinds said on Twitter that he was "delighted to be appointed Education Secretary".
He also sat on the education select committee and once chaired the All-Party Parliamentary Group on Social Mobility - an issue close to the Prime Minister's heart.
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