This summary is not the rule. The rule text controls.
If a bail bond surety lives outside Texas or isn't present when a case comes up, they still need to be officially notified through a citation. This rule explains how that notice can be delivered when the person is out of state.
Basically, anyone who is old enough and competent to swear an oath can deliver the certified copy of the citation to the surety, even if that delivery happens outside Texas. The person who delivers it then needs to sign a sworn statement (an affidavit) describing how and when they gave the surety the citation. That signed statement counts as proof that the surety was properly notified, so the court doesn't need any other paperwork to confirm the delivery happened.
In short, this rule makes it possible to notify a surety who lives out of state or is otherwise absent, without requiring a Texas official to personally deliver the papers. As long as someone qualified handles the delivery and swears to the details in writing, the notification is considered valid.