Thank you for asking these questions for the benefit of other patients.
I do not disagree with the surgical treatments proposed by the other doctors.
The face and neck has good blood supply, there might be a chance a patient can be treated with repeated needle aspirations and oral antibiotics. For example, go to a clinic daily for drawing out and flushing out the pus every day.
Otherwise, if it is too big, or too troublesome to do so, a minor surgery to remove it might be a faster option.