I would turn up for the Appeal hearing with a box of disposable gloves!
Again, back to serious things, if you have "whipped him out" just before the hearing that should be allowed for in the arrangements. You cannot be expected to turn up for an Appeal within days of giving birth, and nor can the father!
It might extend the agony for you further, but if you are offered a date that is close to your due date, think about speaking to Admissions for a different date, preferably asking for a place at short notice due to a cancellation.
Above all else, GET IT ALL IN WRITING! Sorry to shout, but it is just so important.