Greenpeace urged the former Justice Secretary to "move swiftly to prove that he's better than his (voting) record suggests".
British newspapers have been awash with speculation that Foreign Minister Boris Johnson will soon mount a leadership challenge after May gambled away a parliamentary majority in an election she did not need to call.
Gove makes his return to politics after putting his name into the ring for prime minister previous year after the Brexit vote.
The Labour Party in the United Kingdom has demanded to know whether newspaper mogul Rupert Murdoch exerted any influence on Michael Gove's return to the cabinet.
Scottish Conservative leader Ruth Davidson piled on pressure for a cross-party approach, saying "we have to work with others".
The Evening Standard and The Daily Telegraph, have reported that Cabinet ministers have initiated talks with Labour MPs to secure cross-party backing for a softer Brexit.
"I was quite surprised, I have to say".
Discussions between May's team and the Democratic Unionist party over what concessions the Northern Ireland party will seek in return for propping up a Conservative government are scheduled for later on Tuesday.
He promised that, as the Government brings migration "down to sustainable levels", it will do so in consultation with industry, adding that "one of our most important manufacturing industries is agriculture, so we need to make sure that the workforce is there and the support is there".
Richard Jefferson Compares David Griffin to Cubs GM Theo Epstein
Griffin was named the permanent GM in May 2014 and his first moves were hiring David Blatt to coach and drafting Andrew Wiggins. A lot of Griffin's deals involved acquiring veteran players late in their careers for the minimum salary or trade exceptions.
May's former rival Michael Gove has been appointed agriculture minister.
Gove has also put forward his support for a cull of badgers and supported the Tory's desire to relegalise fox hunting.
So what does Gove's appointment actually mean for the UK's environment policies?
According to a PTI report: "Greg Clark holds on to his job as secretary of state for business, energy and industrial strategy and David Gauke takes over as work and pensions minister".
But he denied all such claims as "tripe" and urged colleagues to "calm down and get behind the Prime Minister".
He has also been appointed as the new minister for the Cabinet Office, replacing Ben Gummer who lost his seat in last Thursday's election.
His role in Brexit negotiations will also be under close scrutiny, with environmental legislation - and in particular air pollution limits - largely dictated by European Union directives.
After a tumultuous few days cobbling together a government with the DUP, and trying to persuade the country that she can continue to provide the "certainty" it needs going into Brexit negotiations, Theresa May on Sunday shuffled her cabinet.
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