How do I stop getting texts from dating sites?

Use the Google Block Sender feature Block or unsubscribe from emails and Block or unblock peoples accounts, and in this case they also go to Spam. If using an Android device you can click on the three horizontal dots in Gmail app, to make similar Block/Unsubscribe settings.

Why does my husband keep getting emails from dating sites?

Here are the three most probable reasons you got a spam email from a random dating site you never visited or signed up for: Spammers bought a mailing list that contained your email address. Another company shared your data to an affiliate company. Theres been a user data leak.