Ms Davidson touted as Rhodri's successor
Rhys Williams, of NUT Cymru, said: "Mr Morgan is a charismatic leader, who always gave full backing and support to Ms Davidson in her endeavours to raise standards. He will be a hard act to follow."
Brian Rowlands, of the Secondary Heads Association Cymru, agreed: "Anything can happen in four years," he said. "But Ms Davidson has been warmly welcomed in the education brief."
Geraint Davies, Welsh secretary of NASUWT, added: "She's been in charge of a department whose power is almost totally devolved, so I think her chances are very good but she might benefit from wider experience, and moving to a different department."