Summarize this article:

It will take anywhere from 24 to 28 hours for your skin to heal after sugaring. It's very common for red spots to form on sugared areas. These spots form where the hair root was removed, and may look somewhat similar to a sun burn. Do not worry about such spots as they'll clear up in a few days. In the event you get an ingrown hair, treat it promptly. Ingrown hairs can cause serious skin irritation if left untreated. You can use topical gels designed to treat ingrown hairs at a local supermarket. If ingrown hairs do not clear up on their own, see a dermatologist. Doing sea salt soaks regularly following a sugaring appointment can prevent the formation of ingrown hairs. If you notice redness, itching, burning, or other symptoms that do not go away within 24 or 48 hours, see a dermatologist. Sugaring is usually safe, but can make your skin more susceptible to infections. If you have a rash that you suspect may be infected, make an appointment with a dermatologist.

Summary:
Do not worry about red spots. Treat ingrown hairs. See a dermatologist in the event of an infection.