The British PM was Herbert Asquith, who had pushed through valuable social reforms during previous terms. In 1910 he fought two elections and was reduced to leading a minority government. However, he was pretty secure as he had the support of the Labour Party and the Irish Nationalists. Neither party had any time for the Conservatives, who were against Home Rule for Ireland and who were the natural enemy of Labour.
The state of play in the Commons was---
Irish Nationalists 85
So, while Asquith may have annoyed Labour at times, he was regarded as the lesser of two evils. Some years later, Labour and Liberals governed as a coalition.
As in all politics, his reputation depends on your own views. From what I've read, he might have been regarded more highly had he not been associated with the debacles of the opening years of WW I, to say nothing of his inability to avoid the war. Had he retired in 1912 or 1913, he could have been remembered as the man who broke the power of the House of Lords.