A Downing Street spokesperson said:
The Prime Minister regrets that Baroness Warsi has decided to stand down and is grateful for the excellent work that she has done both as a Minister and in Opposition.
Our policy has always been consistently clear - the situation in Gaza is intolerable and we've urged both sides to agree to an immediate and unconditional ceasefire.
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The proposals are being introduced in order to help create more equality in the treatment of physical and mental health.
The prime minister said "tough new rules" will be introduced to tackle the behaviour of executives who put their workers' pensions at risk.
The musician, whose career spanned six decades and included 18 years with The Kinks, died on Saturday after a fall.