I am unable to yank text into a terminal running in Emacs.
This is my procedure:
I killed the string \"date\" from one buffer and yanked it into the terminal
In the buffer with the terminal running, put the terminal into line mode with C-c C-j. To paste in your text, now press S-Insert (that's Shift-Insert). If you need the terminal to go back to char mode afterwards, it's C-c C-k.
C-c C-j
S-Insert
C-c C-k