Place importance on anxiety (6)
I believe the answer is:
stress
This could be a double definition.
'place importance' is the first definition.
'stress' can be an answer for 'importance' (stress is a kind of importance). I'm not certain of the 'place' bit.
'anxiety' is the second definition.
(anxiety is stress or tension)
'on' acts as a link.
Can you help me to learn more?
(Other definitions for stress that I've seen before include "Feeling of pressure" , "possible excuse for sickie?" , "Strain or accentuate" , "result of being overworked" , "Draw attention to" .)