Raducanu leads Boulter before bad light halts all-British semi-final
The pair spent most of the day waiting for rain to clear before the match started soon after 18:30 local time.
But only one set was possible before darkness, rather than a downpour, saw the match held over until Sunday.
Raducanu, in her first semi-final since stunning the tennis world by becoming the first qualifier to win a Grand Slam singles title at the 2021 US Open, won it 7-6 but only after taking a protracted tie-break by 15 points to 13 against defending champion Boulter.
The 21-year-old Raducanu was set to face Fran Jones on Saturday in the quarter-finals of the grass-court tournament - a warm-up event for Wimbledon, which begins on July 1st.
But her fellow Briton withdrew because of a shoulder injury.
Earlier in the day, Karolina Pliskova advanced into the semi-finals after defeating Tunisian top-seed Ons Jabeur, a fellow former Wimbledon finalist, 7-6(8), 6-7(3), 7-5 in a hard-fought contest.
The Czech will take on France's Diane Parry in the second semi-final on Sunday with the Nottingham final scheduled for later that same day.