The pkA values are:
2,2,2-Trichloroethanol - pkA = 12.02
2,2,2-Trifluoroethanol - pkA = 12.40
Chlorine substituted alcohol seems to be more acidic than Fluorine substituted alcohol - the order being the opposite in case of aliphatic carboxylic acids. The factors governing acidity are not explicitly understood yet. If you use electronegativity values, you will find yourself successful at explaining Carboxylic acid acidity order, but the arguments will fail for alcohols. There must be many factors playing together which we do not know yet.