Under EU and Welsh law farmers must pay firms to dispose of carcasses as soon as possible but many have been unable to do so, with some lorries unable to reach the farms and mountains.
The referendum vote to give the Welsh assembly more law-making powers does not appear to have swayed the UK government.
"When the Welsh Language Act 1993 became law the government of the day gave an undertaking that government departments and Crown bodies would prepare Welsh language schemes in the exact same way as that of public bodies, " she said.
The speech also made reference to a referendum on further law making powers for the Welsh assembly.
Plans for a draft law to change the way Welsh assembly members are elected have been set out by the Queen at the State Opening of Parliament.
BBC: Assembly election reform plans outlined in Queen's Speech
It's 112 pages long, it marks a step change in the Welsh Government's willingness to change the law in order to pursue its policies and if passed in its current form, could have a major impact not only on the way education is organised but also, on the way your children and mine are taught.
The UK government is currently changing the law to prevent "dual candidacy" in Welsh assembly elections.
BBC: NEWS | UK | UK Politics | Wales politics | Wales@Westminster newslog
Shadow Welsh Secretary Owen Smith, who has previously been cautious about Wales acquiring income tax powers, said Labour wanted a new law to implement the Silk commission to give the Welsh government "desperately needed" borrowing powers.
The Welsh government's effort to inform people about changes to the law would make the bill compliant with human rights legislation, Mr Drakeford said.
David Cameron MP said that it was necessary to review the devolution arrangement between the Welsh Assembly and the UK Government in light of the referendum on law-making powers in March 2011.
It will also pave the way for the assembly to get full law-making powers, subject to a referendum of the Welsh people.
BBC: NEWS | UK | UK Politics | Wales politics | Wales@Westminster newslog
Trish Law hopes to stand as an independent in her late husband's Welsh assembly Blaenau Gwent seat on 29 June.
BBC: NEWS | UK | Wales | South East Wales | MP's widow to fight assembly seat
Welsh assembly deputy presiding officer John Marek, also a former Labour member, said Mr Law also told him he was offered a peerage.
BBC: Trish Law said her MP husband Peter came under pressure
The proposed law would place duties on firms in areas such as telecoms, gas and electricity to provide Welsh language services.
Former Welsh Secretary Ron Davies said constitutional reform has been on the agenda for a long time and Wales having primary law-making powers would speed up that process.
The change will "simplify the law" and mean carers are treated in the same way as the people they look after, the Welsh government says.
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