My duet partners aren't speaking to one another

I have had a duet in my schedule for 5 years.  They come faithfully 3 times a week during peak time-slots.  We have a lot of fun in our sessions and have created a great relationship.  However about 2 months ago, something went sour between the two of them.  One is getting divorced and has accused the other of divulging information shared during Pilates to another person.  The accused maintains she did not and in fact it was the soon-to-be ex husband who shared the information.  Both are digging their heels in that they are right and it has made the sessions so uncomfortable.  What should I do here?  Should I try to broker peace?  Should I offer another time slot so they can separate?  Should I just stay quiet in the weirdness?" ~ Stuck in the middle

Dear Stuck in the Middle, 

DO NOT GET INVOLVED.  While this session may have been a bright light in your schedule, all good things do come to an end.  The three of you might have a great relationship -- even a friendship, but never forget that this is your business and you must stay professional.  Getting involved, taking a side, brokering a peace deal is outside the scope of why they are paying you and could have unintended consequences of leaking to other clients who may or may not have opinions on the disagreement.  Stick with teaching Pilates and use the new found quiet to really challenge their abdominal connection instead of their interpersonal connection.