Astronauts report that one of the strangest and most memorable sensations of being in space is the body being extremely hot on the side facing the sun and simultaneously extremely cold on the side facing the void of space.
Like physical sensations, we as humans are complex and capable of holding conflicting emotions and points of view at the same time. You can be mad and annoyed at your sister but still love her and find her endearingly funny—all in the same conversation.
You don’t always need to resolve conflicting points of view. You are capable of holding both at once.