considerable/ deep pressure

Hello!
In the sentence: ‘He was under deep / considerable/ large/ important pressure to get the work done by the end of the day.’ the answer key suggests that ‘considerable’ is the correct solution but I tend to think that ‘deep pressure’ is the correct option.
Which option is the correct one and why?
Thank you for your time and support!

The unsuitability of ‘deep’ with ‘pressure’ is due to its semi-scientific meaning. You really need to express a figurative meaning and ‘considerable’ would be the most appropriate.