Does cloudflare keep all specialised email records when transferring a site?

I am trying to fix a problem for a client whereby her emails from contact forms on wordpress are not getting to her. She is using an email client (Microsoft Outlook) and we have done various domain verifications, and remote mail server configurations. I wouldn’t want these lost in the migration through cloudflare - would they and custom records be kept?

Thank you!

As an additional note, we are hoping that going through cloudflare will help with email deliverability. Would it be helpful?

Cloudflare does not proxy email. But here is some information that may help explain delivery issues: