Paronychia! Help 13 weeks pregnant

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Hey all!

I got this cuticle infected (not sure how to be honest)  im trying to use home remedies ( soak in warm water with epsom salt, drops of tea tree oil, water and vinegar) just don’t want to use any antibiotics unless is extremely needed. Does anyone has any experience with this and a tip on how to solve this naturally? 

Thank you and have a nice weekend!