Thank you so much.

As I was told, the word "appreciated" cannot be used with a that-clause. Is that true? If so, could you please list me a few such words?

Here are a few verbs that don't normally take a that- clause as complement:

appoint, attempt, behave, bribe, chew, discipline, dislike, eat, enjoy, grow, hate, hesitate, incite, hunt, itch, keep, look, miss, prod, provoke, run, scorn, solve, strain, tempt, tend, use, want, watch, will

"Appreciate" can be used with that- clauses in certain constructions, but not in the ones you originally used. It's okay in "I appreciate that you cannot meet the deadline".