If you don't already have one, have you considered having a collection of users who you can privately ask about potential features (or run email wording by) to figure out how it would go over? A user of the product could easily have told you, in advance, "some people are looking for a job secretly and this would be a problem".

You could also come up with incentives to encourage job seekers to opt in; for instance, you could temporarily tag such users as "likely to get hired sooner" in reports for prospective employers.