The opinion polling done in the last week are clear that the country sees Mrs May as a serious politician for serious times.
1 in 3 labour voters - yes 33% of labour voters! - would vote for her rather than Mr Corbyn. This assessment from the left leaning Independent after recent polling:
The same can be said of the columnists: this from todays Telegraph is worth a read: http://www.telegraph.co.uk/women/politics/were-all-sitting-up-straighter-now-that-theresa-may-is-in-charge/