What are you to the trust? A beneficiary, a trustee, an employee...........something else? The problem is if the trust sends you a 1099 with the year 2020 on it....you're going to get question by the feds if you don't report it on your 2020 return. If you get paid and it's on a K-1 you have to report it on your 2020 return no question. Whatever you do make a copy of the check.
