Colder here in France with the queen (5)
I believe the answer is:
icier
'colder' is the definition.
('icy' can be similar in meaning to 'cold')
'here in france with the queen' is the wordplay.
'here in france' becomes 'ici' ('here' in French).
'with' says to put letters next to each other.
'the queen' becomes 'ER' (short for Elizabeth Regina ie Queen Elizabeth).
'ici'+'er'='ICIER'
(Other definitions for icier that I've seen before include "With more hostility" , "More slippery" , "More cold or frozen" , "More reserved" , "comparatively aloof" .)