Based on the way you phrase your message, it sounds like your biggest concern is not handing the copy over, but potential safety/discretion complications afterward.
If it were me, this is the checklist I would use:
1) does she use encrypted email, like protonmail?
2) are you also using encrypted email (preferably on the same platform as her)?
If no to either of those, you should consider ANY information you give out as good as compromised.
4) Does she say anything about how she handles the information after screening?
5) What's her reputation (reviews, board comments, etc.)?
6) Have you asked her if it's ok to reach out to any of her past reviewers, or have you made any requests on the board about others' experience with this provider?
IF she uses encrypted email (and you do as well), AND she's careful with the info and has a very positive reputation, you're likely in good hands. The reality is that the more careful a provider is in screening, the less chance overall that any of your information will end up in the wrong hands, ever. The only exceptions I can think of are if she's a vindictive hot mess (why you want to check on #4-6), or if she's very new (less than a year) and her screening has more to do with trying to cover a lot of bases without really knowing how to properly screen.