The new Time Lord's introduction to audiences was memorable, according to some critics - but others were less impressed.
Peter Capaldi had emerged "brash, furious and very, very Scottish", the Independent on Sunday's Neela Debnath said.
The script, to match the Doctor, is "suitably darker and more mature", she said.
The Sunday Telegraph's Michael Hogan said Capaldi "signals a conscious break from the Doctor's boyish recent incarnations", referring to the younger David Tennant and Matt Smith.
He said the "veritable elder statesman" is more reminiscent of the show's roots, when it featured older men in the lead role.