The 18-time grand slam champion was given the all-clear in January after treatment for ovarian cancer.
A yellow weather warning has been issued by the Met Office because of strong winds forecast for Saturday.
The Court One crowd reacted to the lack of a handshake at the end of Elina Svitolina’s 2-6 6-4 7-6 (9) victory.
Boulter will take on Elena Rybakina in the final match on Saturday’s Centre Court schedule.
The Scot was beaten 7-6 (3) 6-7 (2) 4-6 7-6 (3) 6-4 on the 10th anniversary of his first Wimbledon title.
Carlos Alcaraz, Novak Djokovic, Stan Wawrinka and Iga Swiatek are the other grand slam winners who will grace Wimbledon’s main show court on Friday.
Last year’s runner-up has played only one match this year following knee surgery.
The winner will face either Stefanos Tsitsipas or Dominic Thiem.
The Scot insisted his exclusion from the poster is not the issue.
Murray claimed a second successive title as he beat Frenchman Arthur Cazaux 6-4 6-4 in the Challenger Tour event.
The former US Open champion came through a gruelling encounter with 13th seed Beatriz Haddad Maia.
The 20-year-old has not played since January’s Australian Open.
The Scot came through 4-6 6-7 (4) 7-6 (5) 6-3 7-5 at 4.05am after a match lasting five hours and 45 minutes.
His opponent was furious over an incident in the first set where he felt a point should have been replayed.
The British number one fell to a 6-3 7-6 (4) defeat on Rod Laver Arena.