paradox - A situation or idea that seems strange because it involves two aspects that are very different and seem to contradict each other, and both may be true.
It's a paradox that often it's the busiest people that have to most time to contribute to the needs of others.
pushy - Acting in a way that is overly eager to advance one’s own interests or opinions, often disregarding others' comfort or boundaries.
The saleswoman was so pushy that I had to walk out of the store because she wouldn’t stop trying to sell me things I didn’t need.