Hi Jessica471,
For help with the Mail app on your child's iPhone, test the steps below to check for any app restrictions. You can also find the information in the article here: Use parental controls on your child's iPhone, iPad, and iPod touch
"Allow built-in apps and features
You can restrict the use of built-in apps or features. If you turn off an app or feature, the app or feature won't be deleted, it's just temporarily hidden from your Home Screen. For example, if you turn off Mail, the Mail app won't appear on your Home Screen until you turn it back on.
To change your Allowed Apps:
- Go to Settings and tap Screen Time.
- Tap Content & Privacy Restrictions.
- Enter your Screen Time passcode.
- Tap Allowed Apps.
- Select the apps that you want to allow."
If the app is allowed and the issue continues, follow the steps here: If you can't receive email on your iPhone, iPad, or iPod touch
If the Gmail account is the only account with an issue, reach out to Google Support to help check for any additional details needed to access the information.
Sign your child in on their iPhone or iPad
Manage your family on Google
If multiple accounts have the issue, reach out to Apple Support directly to further assist.
Contact - Official Apple Support
Contact Apple for support and service - Apple Support
Best.