I didn't remember a mention of Cutler dying either, so I did some checking.
From
Memory Alpha:
In 2153, Cutler was apparently working in the exobiology lab when
she suffered a broken arm due to a manifested spatial anomaly
(which was the result of Enterprise's voyage through the Delphic
Expanse). (ENT: "Rajiin")
Crewman Elizabeth Cutler was played by the late Kellie Waymire
until her sudden death in November 2003. It is not known whether
the character was to have appeared in later episodes as she had not
appeared in any episodes of the series' second season, although
Cutler was mentioned in an episode in Enterprise's third season.
From "Rajiin," the first scene between Archer and Phlox in sickbay:
Phlox: I hope he's correct. Crewman Cutler broke her arm when one of those spatial anomalies went through the Exo-biology lab. The
sooner the ship is insulated against these phenomena the happier I will be.
"Rajiin" filmed in August of 2003 and aired on October 1. Kellie passed in mid-November.
From trekweb.com, January 2004 (around the time of "Azati Prime" filming):
Asked about the tragic passing of actress Kellie Waymire
('Elizabeth Cutler') last year, Berman says the staff is discussing
ways to honor her.
"We had hoped that Kellie would come back as well. We have
discussed some way of honoring her and we'll be looking into that
in the next few weeks."
But I don't remember her being mentioned, and Memory Alpha only has the "Rajiin" reference.
Maybe they mentioned her in a scene, but it was cut. Do the Season 3 DVD's say anything?