Terribly pale, like this US city (2,4)
I believe the answer is:
el paso
'us city' is the definition.
(city in Texas)
'terribly pale like this' is the wordplay.
'terribly' indicates anagramming the letters.
'like this' becomes 'so' ('like so').
'pale' with letters rearranged gives 'elpa'.
'elpa'+'so'='EL PASO'
(Other definitions for el paso that I've seen before include "West Texas town" , "Texan city" , "US city" , "city on Mexican border" , "City of Texas on the Rio Grande; aslope (anag.)" .)