McIlroy, Tom Kim, Bernd Wiesberger and Patrick Cantlay set the early pace with rounds of 65.
Gregor Townsend’s side have now won four of their six Tests this calendar year.
The 35-year-old, who players for The Blaze and Birmingham Phoenix in The Hundred, said she will continue to play domestically.
Prospect of a Royal runner on Town Moor moved a step closer.