If that seems like a funny question, imagine the effects of a solution that alienates your team, your customers, or your partners. Imagine a solution that is ignored, leaving a bad taste in everyone's mouth about the whole process.
Of course you don't want that. Solving the problem should make things better, not worse. Still, making sure that you've covered those (and other) solution risks is an important part of centered problem solving. It's not all about you, and it's not all about the problem. It's the situation, the people, the chemistry involved as well.
But leaving the problem unsolved is not a great option. Remaining fearful of the effects of your solution is dangerous when it leaves you polarized and the problem unsolved. Risks occur then, too. The problem gets worse. People get discouraged. Customers wonder what's going on. Leaving a problem unsolved is a sketchy strategy, even if it's chosen by default.
The risks of solving a problem are less than the risks of NOT solving it.
Why not get busy solving it?
-- Doug Smith