Do I need an LLC or can I work as a sole proprietor and just get business insurance? I'm a lic.professional counselor working independently virtually.

The question

I'm working out of my home virtually using telehealth, taking self-pay rates from approximately 10-12 clients per month, charging $120 an hour. I do not plan on hiring employees and I would use my personal name for counseling instead of an actual different business name. I am a licensened professional mental health counselor who has professional malpractice insurance. Would I need to also add in business insurance and work as a sole proprietor or would I need to form an LLC? Either way I think I would need an EIN to protect my identity from clients instead of using a social security number.