Tony Blair admitted yesterday that he must win back the public's trust in the wake of the Iraq intelligence row which led to the death of Government scientist David Kelly.

The Prime Minister faced tough questions over the war and Dr Kelly's suicide at his televised monthly media briefing.

But Mr Blair put up a bullish defence of his record and insisted the damaging affair had not lessened his "appetite" for power.

He insisted the naming of Dr Kelly as prime source for BBC claims that intelligence was "sexed up" was a matter for Lord Hutton's inquiry.

He also urged people to wait for the report from the Iraq Survey Group hunting for Saddam Hussein's weapons of mass destruction. Instead, Mr Blair repeatedly stressed "real and sustainable" public services improvements.

In a signal of intent, he doubled the number of hospitals invited to apply for controversial foundation status.

It was public services, not the intelligence row and Dr Kelly's suicide, on which the Government would be judged, he said.

But questioned about falling public trust in his leadership, he admitted: "There is an issue that we have to confront.

"People need to know that what we did in Iraq was right and justified," he said.

"That's a case we have to not just assert, but prove over time, both in relation to weapons of mass destruction and in relation to the improvement of Iraq."

The performance failed to impress his critics in all parties, including his own.

Dr Kelly's death overshadows Mr Blair's achievement in becoming the longest serving Labour Prime Minister on Saturday. The milestone has brought unfavourable comparisons with the 1945-51 government and its creation of the welfare state.

However, Mr Blair opened by listing his own Government's achievements.

"The overall record is one that bears comparison with any government, Labour or Conservative, in the past," he said. "I believe that we have done what we were elected to do. To keep the economy stable, to get people back to work, to invest in our public services and in doing so create a country that is more modern, stronger and more fair."

But as Mr Blair packs his bags for a holiday at Sir Cliff Richard's Barbados villa he can be in no doubt that the issue of Iraq and Dr Kelly's death will still be there to haunt him on his return.

Lord Hutton's inquiry into the weapons expert's death opens on Friday.

Questioned yesterday about the vicious battle with the BBC that led up to the tragedy, he all but admitted it had cost him media chief and right-hand man Alastair Campbell, who is set to go after the completion of the inquiry.

However, Mr Blair repeatedly rejected suggestions that he himself should go if no weapons of mass destruction were found.

"There is a big job of work still to do and my appetite for doing it is undiminished but who the country elects is ultimately a matter for the country," he said.

With Mr Blair expected to leave the country by the end of the week, Shadow Health Secretary Dr Liam Fox said the PM's mind was "more on Barbados than Britain".

"He used his full array of mock emotions and stone-walling skills to avoid questions about his Government's failure on health, education and transport," he said.

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