Judgments are public records. Public records don't get removed unless they are erroneous.
However, a judgment can be paid off and the lien released. That is the most judicious action to take. Sometimes the lienholder will take less than the full judgment amount, but don't count on that.
Lenders don't like judgment liens, whether on a person or on a property. As a borrower, a lien against a person will cause the lender to ask the borrower to remove the likelihood of having to pay the lien off during the term of the loan - basically by paying it off now. Small liens may not cause a problem, unless they're against a property. Lenders won't lend when a lien is outstanding on a property, because the lienholder might foreclose. Lenders insist on getting the title clear first before placing their mortgage lien, thus making it the first lien.
Talk to your lender about the things you're worried about to see what is best to do.