Marian Kursh had 12 points for the Trojans (20-13), who were making their third straight NCAA appearance.
Delaware entered the tournament as a trendy pick for a deep run, because of Delle Donne and the team's success this season. The Blue Hens' only loss was an 85-76 decision at No. 5 Maryland on Dec. 29.
The Blue Hens will face either Nebraska or Kansas in Tuesday's second round.
The 6-foot-5 Delle Donne had 39 of Delaware's first 56 points before taking a seat on the bench for good midway through the second half. She went 14 for 27 from the field, including 5 for 8 from three-point range.
Lauren Carra added 12 points for the Blue Hens, who had 10 players score.
UALR, which trailed by 32-22 at halftime, was just 16 of 51 (31 percent) from the field. Taylor Gault, the Trojans' leading scorer, was 3 of 19 and finished with seven points.
The Blue Hens, particularly Delle Donne, put the game away in the second half - hitting 16 of 31 shots and leading by as many as 34 points.
Delle Donne opened the half with a jumper, then added her fourth three-pointer of the game on the next possession to put Delaware up by 42-28. She scored nine in a row to put the Blue Hens up by 51-28 before exiting the game for the first time with 11:58 remaining.
