That all depends on what you do with the records related to email. Make sure that you bring them all over. This may involve manual work to ensure that you have everything that you need. If your mailserver uses a hostname in your domain (e.g. mail.example.com, be sure that you set it to DNS Only.
Editing to add: I see that you use Google Workspace for email, so just be sure to bring over your MX records, and your DKIM, DMARC, and SPF records.
You may be confusing web traffic with DNS traffic, because none of your rayjgreen.com DNS goes through anywhere but GoDaddy right now.
If you are planning on using Cloudflare to redirect certain URLs, you will be moving your DNS from GoDaddy to Cloudflare. You gave an answer that suggested you were familiar with that. Is that not what you meant by the following?
You then followed that up expressing what appeared to be concerns about whether that change would impact email delivery. The answer to that is: no, as long as you prepare correctly ahead of time. Typically that is as simple as ensuring that your current DNS records are present in your Cloudflare DNS prior to updating the nameservers at your registrar.
If the GoDaddy nameservers and the Cloudflare nameservers contain identical records, there is no reason to be concerned about
Hopefully this has helped clarify my replies concerning your email continuity question.
That Cloudflare Redirect rule will trigger before a GHS redirect. Please check your Cloudflare account for any other redirects. Your rule is a 301, but these unwanted redirects are 302s, so they have to be coming from somewhere that triggers before your new redirect rule.
DNS Only.
