In many messy divorces you are also going to be working with their lawyers and maybe even the courts. Don’t lose any professionalism.
There have been many situations that we hear of when agents inadvertently pit the two parties against each other. This can happen in a variety of situations but communicating the offer is where it is at its most vulnerable. Of course the price is important, but getting the place sold will usually be their first priority. You probably understand it’s your job to combine those two outcomes but make sure no breakdown in communication happens between each party.
Just work and make the noticeable effort to establish both their trust. This is honestly what it comes down to. People in this situation are looking to minimize the stress and effort of selling their house. So it does no good to say a word about their divorce or get into any of their affairs. You’re not a lawyer and you’d be surprised at the amount of agents who end up not having the trust of one side of the divorcing couple.
A great thing to do is to establish your office as a neutral zone. Keeping yourself in this like is going to establish their trust and let you work with them smoothly.