I trust the solution will appear, despite my fear.

Crossword setters rely on this: the clue you cannot see at all at eleven at night is transparent on the bus at eight the next morning. Nothing was added overnight. The staring was the obstacle.

Minds keep working on problems after you stop consciously holding them, and fear interferes with that, because a frightened mind narrows and keeps rechecking the same three routes. Doing something else isn't avoidance; it's how an answer gets room to arrive. Put the problem down and go for a walk. The work continues unsupervised.