A rescue team, rescue party, search party, or assistance party, was a special away team comprised of Federation Starfleet personnel in an event that an away mission involving a potential search and rescue operation.
In 2369, Benjamin Sisko told Golin Shel-la that a rescue team was probably on its way to retrieve survivors from the crashed USS Yangtzee Kiang. (DS9: "Battle Lines")
A rescue team was sent from the USS Voyager to an irradiated M-class moon in 2374, but the primary mission was the recovery of Omega molecules from a research facility. (VOY: "The Omega Directive")
After the Delta Flyer ran into multiple ion storms and crashed on the surface of a M-class planetoid in 2375, Voyager deployed rescue teams to find the Delta Flyer crew. Rescue team alpha led by Chakotay asked Seven of Nine for data on the caverns near the crash site. (VOY: "Once Upon a Time")
Later that year, Voyager rescue teams stood ready to assist a badly damaged vessel – the Silver Blood Voyager – but it had been reduced to an unidentifiable field of debris by the time the ship arrived. (VOY: "Course: Oblivion")
Also that year, Janeway led rescue teams to help secure the stricken USS Equinox and tend to their injured. (VOY: "Equinox")