It was Alan Pardew's first game at the Baggies after he took the reins following the sacking of manager Tony Pulis.
Everton are unbeaten against Huddersfield in their last seven meetings and have not lost to the Yorkshire outfit since 1956.
Looked rusty on his first game back since August, his usually reliable passing going awry on several occasions.
Sam Allardyce may not have been formerly in charge of the team on Wednesday night but he appears to have weaved some magic over the Toffees already.
David Wagner's side were truly humbled at the Emirates as the Gunners shot them down in spectacular fashion.
The likes of Jonjoe Kenny, Dominic Calvert-Lewin and Beni Baningime have, as a result, endured largely mixed starts to their Premier League careers.
A buyer though was eventually found, so welcome to Everton, Farhad Moshiri, a financial wheeler-dealer who chooses to live in Monaco, a place where residents don't have to pay income tax.
Huddersfield remained a constant danger however, with Tom Ince using his pace to counter and Aaron Mooy dictating play in the middle. He ignored those shivering behind the steel railings waiting patiently for autographs because anger was present in the crowd. He has a fine track record of making an immediate impact when taking on a new job, but this time around he inherits an ageing team which looks short of pace, particularly in defence and central midfield areas. Only two clubs, Swansea and Crystal Palace have scored fewer goals than the Terriers. Another will have provided a huge confidence boost for the back line. Huddersfield have been held goalless in eight of their 14 games this season.
England international Keane was forced off in the 4-1 defeat to Southampton last Sunday and was missing for the 4-0 thumping of West Ham United at Goodison Park on Wednesday night. Again and again, new signings have referred to Everton's ambition as a club as a key thing that persuaded them to come.
Sam Allardyce lauded his new side's determination to win after his Everton reign started with a 2-0 victory over Huddersfield Town at Goodison Park on Saturday. Everton's second arrived when Calvert-Lewin was released by Rooney's delicious pass. For that, Rooney received a big hug from Lee. How better to prepare for that considerable task than by playing his former protege's side immediately before, then? They were shouting at the owner whose mind was on a meeting with refuge inside an empty stadium an hour or so before kick-off.