One of the considerations in updating your domain's IP address is whether it needs to be on the C record or the A record. For example, if you have a manged wp hosting, an IP address is provided when you create the installation and you only change your A record.
A second example would be hosting on a cloud server provided a hosting company other than GoDaddy. Many of these installations, require the IP address to be changed on the C record. In this case, you'll need to make sure that all of your MX records which control your email services are properly configured. In cases where C record changes are required, I highly suggest calling support to walk you through the process. Its much more detailed than an A record update.
Hope this helps,
James
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