Book date with PTA for arranging simple course (5,6)

'arranging simple course' is the definition.
I don't know anything about this answer so I cannot tell whether it can be defined by this definition.

'book date with pta' is the wordplay.
I cannot quite understand how this works, but
'book' could be 'ot' (Old Testament) and 'ot' is located in the answer.
'date' could be 'd' (common abbreviation eg in DOB, date of birth) and 'd' is present in the answer.
an anagram of 'pta' is 'pat' which is within the remaining letters.
This explanation may well be incorrect...

'for' is the link.

Can you help me to learn more?