Sorry, but even though the therapeutic alliance exists in the realm of emotions, it is also a business transaction. So if the policy is to pay for your missed appointment in full, do it without complaining.
Yes, therapy is a relationship, albeit one you’re paying for. It may feel imbalanced at first, lopsided and downright weird. But if you show up and do the deep, sometimes painful, yucky inner work therapy requires and your shrink is worth her fee, it will be enriching in profound ways. Worth the bucks. Trust me; you’ll be paid back in ways that are priceless.