Hello Ev_sub2.
Thanks for reaching out to Apple Support Communities.
If I'm understanding correctly, you are receiving a pop of "Cannot Verify Server Identity - The identity of "google.com" cannot be verified" on your iPhone. I will be glad to assist.
I would suggest deleting and re-adding the email account to see if the helps:
If you can’t send or receive emails on your iPhone, iPad, or iPod touch
"Remove your email account and set it up again
- On your computer, sign in to your email provider’s website. Make sure that all of your email is there or make sure that your email is saved somewhere other than your iOS device.
- On your iOS device, go to Settings > Passwords & Accounts.
- Tap the email account that you want to remove.
- Tap Delete Account.
- Add your account again.
"
Cheers.