I feel the same way when I'm trying to get a perfect shot, and then some unwanted subject enters the scene. I usually remind myself that people from other countries might find the shot interesting because it shows how things actually are in real life. Take the following shot. I find it interesting because I can compare the bus in the image with buses where I live. So to me, the bus is also interesting, even though you were aiming for the fountain.
Interesting .... I can photograph in a different way too! Thank you!💗