I would try to prevent erosion around the pond. This can be a challenge this time of year as it is too cold to get vegetation to grow. Rye or wheat are good cover crops until more longer lasting vegetation can be established. Since you cannot get plants growing right now, laying down a manual barrier may help.

Collect some of your muddy water into a clear jar and let it sit for a few days. If it clears on its own, then I wouldn't worry and let it clear up on its own. If it doesn't clear up on its own, then we can look into options for clearing it up...