That sounds like practically a daily event for me.
One minor change in another person's plans can make me feel like I can't find anything to do with the rest of the day. I like certain things to be predictable so that I don't have to think about them. When a person changes things on me, I feel like someone has spun me around and I can't figure out what direction I am facing. I have to reorient myself with respect to the time left in the day.
When I make plans to do something with a person, perhaps I invest more emotional energy into those plans than an NT would. When those plans change, I need to expend more emotional energy into developing new plans for the day and to dealing with the disappointment of not being able to see a friend.
I like a certain degree of predictability in my life and a fair amount of control over what I do. When other people change things around on me, I feel the loss of control and I am bothered that I am suddenly at a loss for what I am to do with my time. It's odd, because I often like doing spontaneous things on my own, but I don't like others being spontaneous.
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Never let the weeds get higher than the garden,
Always keep a sapphire in your mind.
(Tom Waits "Get Behind the Mule")