Coalition for Marriage (C4M), the UK’s largest pro-marriage group, said the comments were an “extraordinary attack on supporters of traditional marriage”.
Thomas Pascoe, Campaign Director of the group, said: “The implication that supporters of traditional marriage lack compassion is deeply unjust.
“Signatories of our petition against changing the definition of marriage include a great many people who live their lives in the service of others. It was unworthy of the Prime Minister to tar them as lacking compassion”.
In recent days, Conservatives have urged the Prime Minister to ditch the party’s “politically correct” policies.
A ComRes poll of 550 Tory councillors found widespread opposition to the Government’s current priorities.
In the poll commissioned by C4M, 75 per cent of respondents said schools should promote traditional models of family and marriage.
Mr Pascoe said the poll should serve as a “wake-up call” to Government ministers.
“The warning to Theresa May from her grassroots could not be clearer: stop the dumbed down, politically correct box ticking and concentrate on the job in hand.”
It is not the first time Conservative councillors have taken their party leaders to task over the introduction of homosexual marriage.
In July 2014, councillors warned David Cameron that his introduction of same-sex marriage was causing a decline in party membership.
Annual reports for some local associations showed an average drop of ten per cent across constituencies in 2013, at least 15 of which attributed the fall to gay marriage or unhappiness with national decisions.
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