Will godaddy still be in my email loop if I only move email to another host?

(I know this is something I can research online, but I won't have time to do so by the time I need to make decisions.)

My company wants to get rid of godaddy as their email host company because their servers in Arizona keeps intermittently rejecting incoming emails from one of their customers, citing "[IP x] has sent to too many recipients this hour. IB607".  The sender customer is a government agency. WE called godaddy support and the guy said, "I don't have a resource to say, turn off the filters for messages coming from this server or that one."

So my company plans to move to a new email host, but MIGHT keep the company website and/or domain registration with godaddy, with whom they have a multiyear contract.

My newbie question (I need to be sure):  If they move their email to google apps (lets say) but keep registration and webpage with goaddy, WILL their email traffic still be passing through godaddy's servers? Will it simply be forwarded thru godaddy?  (In which case this would not solve the problem.)

Thanks
dgrrrAsked:
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Mark BullockQA EngineerCommented:
Your email would go directly to Google. Other email servers would look up your mail server IP address using godaddy's DNS server.

Google has instructions for configuring your godaddy dns server to add the DNS MX (mail exchanger) records.
https://support.google.com/a/answer/33353?hl=en

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Allen FalconCEO & Pragmatic EvangelistCommented:
As part of the change, plan on migrating the existing email content, contacts, etc into the new service.

Google and Microsoft have partners that specialize in these types of migrations.  They know the tools and methods.  A small investment can save you time money and aggravation.
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