Commercial Fixed Wing
Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP); Flight Crew Multiengine
Confusion
Deviation / Discrepancy - Procedural Published Material / Policy; Deviation / Discrepancy - Procedural Clearance; Inflight Event / Encounter Weather / Turbulence
Company Policy; Procedure; Human Factors; Environment - Non Weather Related
I was notified by the safety department that the Dispatcher for our flight filed a report for that flight departing without an alternate. The TAF information that we looked at showed the weather legal to depart without an alternate. Once boarding was complete it came to our attention that the gate agent boarded before the plane was sprayed with disinfectant. We called the Operations Center and they wanted the plane to be deplaned and sprayed. We finally talked with operations and got them back out to reattach the jet bridge and send the sprayers out. After cleaning was complete we re-boarded; closed up and prepared to push back. When we were initially ready to push we would not have been very late. As we waited longer and longer for a push crew the weather got worse at our destination. We ended up landing XX minutes out of our window to file without an alternate.Due to the aircraft cleaning being delayed and our focus being towards the cleaning of the aircraft and figuring out how to get everyone off and cleaners back on we became distracted. We took our attention away from the flight and did not catch that we were to arrive much later than expected and when we would need an alternate. The Dispatcher did not catch this either and we departed without an alternate.The pilot's sole focus should be on the safe operation of the aircraft; there needs to be some sort of divide when it comes to who handles the cleaning and problems in the back of the aircraft. When our attention was away trying to make sure other people were doing their jobs; i.e.;: cleaning in the cabin; we became distracted and didn't catch the mistake made in filing an alternate.
Air carrier First Officer reported taking off without a required alternate. A delay due to spraying for COVID-19 was cited as a contributing factor.