How should i treat acute paronychia on my big toe?

See a podiatrist: An inflammed/infected ingrown nail is a very painful thing, and if it is longstanding, or you have medical issues such as diabetes or peripheral vascular disease this can cause serious infection, and become a medical emergency. Antibiotics, cutting out the offending nail portions and draining infection are how paronychia is treated. This can often be done in office comfortably with a local.

See doctor: Treatment involves antibiotic medicines for germ (bacterial) infections or antifungal medicine for infection caused by a yeast (candida) or a fungus. http://patient.info/health/paronychia-leaflet