Put sb. Down(for an appointment) 记下…的预约时间

Work sb in 额外安排

Put sb in(for an appointment) 把…安排进预约名单

I wanted to let you know I will not be able to make our meeting next Tuesday.
我想告诉您我下周二不能赴约.

I was counting on taking care of our meeting before I leave, but I suppose I could shuffle a few things.
我原来打算在离开之前处理好见面之事，不过我想我可以重新安排一下.