Think deeply of the goddess (4)
I believe the answer is:
muse
This might be a double definition.
'think deeply' is the first definition.
'muse' can be an answer for 'think' (to muse on something is to think about it). I am not certain of the 'deeply' bit.
'the goddess' is the second definition.
(the muses in Greek myth)
'of' acts as a link.
Can you help me to learn more?
(Other definitions for muse that I've seen before include "Cogitate" , "Source of artistic inspiration" , "Ponder in meditative way" , "Goddess; rock group" , "Source of inspiration; rock group" .)