The ten foot tall plastic, football-shaped refrigerator did not belong among the chintz couches of the ladylike living room. It was obtrusive to say the least, meaning it stood out in a bad way.
Something that obtrudes sticks out, like a sore thumb. Wear a leopard-print toga to a gathering of PETA supporters, or ask loudly if wine is being served at an Alcoholics' Anonymous meeting — these are examples of obtrusive behavior, which draws attention to you and makes you stick out, but not in a good way.