It’s a reasonable concern but not one they’ll likely need to worry about.
First of all, there’s a difference between scaring and blemishing.
A scar is a disfigurement of the skin, and that will typically involve deep lacerating or burning during treatment, something most estheticians are not inclined to do.
So, while extractions may produce some post-procedure swelling or redness, both will usually calm and disappear shortly, especially if properly treated in the facial session.
Now you can relax!