Unfortunately, once someone forms a negative opinion or perception of you, you aren't really gonna be able to change that in a short time. And, it largely depends on whether that person is open-minded.
"Is there anything that can be done about this?"
Sure... leave it alone for now. And ask yourself, "Why would they think I am a gossip? or Who is giving them this misinformation?" If you are a gossip, stop. If you know who is gossiping about you, avoid them and read this:
https://www.psychologytoday.com/us/blog/feeling-it/201612/8-things-do-if-youre-the-target-hurtful-gossip