Drupal commerce order notification to field in a line item type
What you've encountered here is how Rules deals with multi-value fields. The commerce-line-items field is a multi-value line item reference field using "delta" values represented by those 0, 1, 2, 3, etc. numbers. Without knowing the full details of your situation, the best I can recommend is to add a loop over that commerce-line-items field, passing each line item to a Rules component designed to e-mail the honoree.

If you aren't familiar with Rules components, that's certainly more than we can get into here. Your best bet would be to find the Rules Mastery course on YouTube and get your learnin' on.

Once you have the idea, what you'll need is a Rule component that accepts a Commerce Line Item as a parameter. It should have at least these two conditions:


Entity has field - does the line item have your honoree e-mail field?
Data value is empty (negated) - does the honoree e-mail field have a value?


If so, your actions section can send the necessary e-mail using the value of that field as the e-mail recipient.