Exactly. From the POV of a prospective student looking for a teacher that's all you need. Not fancy web design and publicity shots: are you currently teaching, where/when, are you teaching something I want to learn, and are you interested in new students? If I Google "belly dance Whereversville" I should find you.Once you've got your new website built - separate pages for each of your offerings plus an About Me page, a Privacy page and a Contact Me page - there's no need to run a blog or keep tweaking it, just set and forget apart from updating class or workshop dates.
I'm glad I'm not the only one who thinks a business that's all social media and no website is a bit odd. Makes me think they are only interested in people who do social media* (OK, so you aren't interested in my custom and money then...), or can't be bothered with any thing beyond an extension of their social playing on FB.
* perfectly valid in some cases, but attracting belly dance students...?