Keep the profile. Directories like Psychology Today are where many people start looking, and a listing there brings real inquiries. But a profile is a page on someone else's site, beside a dozen other therapists, in a layout you can't change. Your own website is where a person who has already found you decides to reach out.
Yes. Put your website's address on your profile, and your profile's badge or link on your site. Each one backs up the other, and Google sees two pages agreeing about who you are and where you practise.
Start small: a home page that says who you help, an About page in your own voice, your specialties, fees and insurance, and a way to ask for a consultation. That's enough to turn a curious visitor into a first call.
Less than you'd think. With a site made for therapists, the pages come written - specialties, fees and insurance, a consultation request, a crisis line on every page - and you change the words to your own. Most of the work is reading it through and making it sound like you.
Give us your website's address and we'll rebuild its home page, free, with a short report on what it's missing.