I do a great deal of recorded interviewing for work. Some folks don't miss a beat, others feel a little awkard, but only for the first three or four minutes, then they get acclimatized and they're back to normal. In established relationships, it's even easier.

So, while I can appreciate the fear, in my experience, it's not an issue, and then you have the reassurance of knowing you've been honest and respectful in an environment where both are so important.