Assume the device may not be private
A share of the people reading a family law site are doing so on a phone or computer somebody else can access, and for some of them that is a safety matter.
Shared devices, shared accounts, family plans and, in some situations, deliberate monitoring are all realities for people in the middle of a family dispute. Browsing history is not private in every household.
A quick exit control that leaves the page immediately is a common and worthwhile feature, and it is worth understanding its limits. Leaving a page does not remove it from history, and a site should not imply otherwise.
Honest guidance is better than a button alone. A short, plainly written note about browsing privately, clearing history, and using a device the other party does not have access to is more useful than a control that suggests a protection it cannot deliver.
Organizations that specialize in domestic violence safety have published guidance on technology and device safety that is better than anything a law firm or an agency should attempt to write from scratch. Pointing to them is the responsible approach.
Contact options deserve the same thought. A caller may not be able to speak freely, and offering a way to make contact that does not involve a phone call matters more here than the usual argument about form preference.