How do you manage the situation socially? I had a very important document with a very expensive professional booked for about 10 minutes. No way I could actually read it in that time - what would you do?
Not GP, but probably ask them to send me the contract ahead of time, and explain that you need time to read it.
"I appreciate the opportunity to work on this with you, I need to give this the time that it deserves to make sure I can honor the commitments in the contract."
Always maintain your integrity, a big part of that is honoring your word. Integrity is the only thing you're born with in this life, and if you're lucky you take it with you on the way out. Any person worth getting into contracts with will appreciate the value in that.