my cousin demanded that she---accompany me to the docyor

问题描述:

my cousin demanded that she---accompany me to the docyor
a,should b,would c,could d might

因为这里是关于demand引用的宾语从句,其后面的宾语从句要用虚拟语气.即:demand that sb. (should) do的形式.
所以选A