TRACON Controller in Charge reported ATC was not able to provide timely assistance to an arrival requiring special handling. The Controller in Charge reported there was a delay in providing assistance because they were also working a radar position due to lack of staffing at the facility.

Narrative

I was working Sector 1 and Sector 2 simultaneously. I was monitoring all positions to the best of my ability; but also had traffic I was working at the Sector 1 position. I heard Sector 3 coordinating with ZZZ about a [priority] aircraft; when the Sector 3 controller advised me from across the room that I was probably going to want to pay close attention to the [priority aircraft] he had inbound because it could be a pretty bad situation that was developing. I had the remote handset plugged in to my headset and heard the Center Controller passing information along to the Sector 3 Controller about an EPIC aircraft that was inbound that would require a long runway and long approach to that runway. The Center Controller passed along the phone number of an instructor for the pilot of the EPIC aircraft; because they needed a support in talking them down and through the equipment issue they were troubleshooting.I was able to record all the critical information related to the [problem] as the Center Controller passed it to the Sector 3 controller; as well as the phone number of the instructor who needed to get in contact with the pilot of the aircraft. This resulted in a full page of notes as I was also working aircraft at the Sector 4. I then had to step away from the Sector 4 to call back the only controller left in the building to come and split off Sector 2 and Sector 4. In the meantime; critical time was passing before I could call the instructor to be able to get additional information to pass along to the aircraft in distress. I was able to brief the next controller at Sector 4; and then call the instructor; before sitting next to the Sector 3 controller to pass time sensitive instructions from the instructor to the pilot through the Sector 3 controller. Fortunately; the team functioned effectively together; and the pilot landed without incident. The entire scenario was extremely tense; though; and would not have been nearly as stressful had Sector 2 been able to be split all along.Sector 2 needs to be split as often as possible; if not all the time outside of midshift hours. But; we simply do not currently have the staffing to accommodate. As our operations continue to grow we need more staffing to ensure controllers are not put in these positions. We're already working 6 day workweeks with shortened breaks; and these types of safety issues require us to be at our peak. As we approach a busier traffic season; it will be increasingly more difficult for Sector 2 to be combined with any other radar position as consistently as it currently is and expect that controller to be able to maintain situational awareness of all sectors. Any further delay in the scenario above could have exacerbated the situation to the point where the pilot did not receive the guidance required in sufficient time to avoid a more severe outcome.