Our website it hosted in Cloudflare via a vendor’s account. We’d like to move authoritative DNS from GoDaddy over to Cloudflare. Is it ok to use a separate Cloudflare account from the one our website is hosted in or will that cause some internal Cloudflare issues?
What feature, service or problem is this related to?
Your site is using WP Engine according to the headers. You can use your own Cloudflare account ok, read this guide so you can have those requests pass through your own account first.