Ms Rose was the heavy favourite to succeed Ross McEwan as boss at the publicly-owned bank.
Shares in the FTSE 100 firm slumped in early trading after the company said it faced delays solving problems with its Trent 1000 engines.
The retailer reported a 2.7% rise in pre-tax profits to £319.6 million for the six months to July.
The company was founded in 2008 in San Francisco.
The Business Secretary has called on the competition watchdog to assess the security implications of the sale to Advent International.
Figures from the Office for National Statistics (ONS) show the Consumer Prices Index (CPI) was 1.7% last month, compared with 2.1% in July.
Chief executive David Thomas picked up £3.6 million in salary, benefits and bonuses for the year to the end of June.
Households bought 0.9% fewer items than the same quarter last year, suggesting ‘talk about stockpiling might be just that’, analysts Kantar said.
Buyers who hold their nerve while others hesitate amid Brexit uncertainty could find a good deal, Rightmove said.
The distributor said that “adverse performance” combined with an ambitious budget cut into the company’s earnings.
Ovo will have a combined household customer base of around 5 million after the deal.
Scottish businesses are being urged to prepare for a recession.
Local shops and businesses will earn 12p every time they dispense cash to a shopper paying with a Mastercard debit card from April 2020.
The cigarette-maker said more than a fifth of senior management roles would be affected.
The builder reported pre-tax profits of £104.7m for the year to the end of June.