Ky. R. Civ. P. 37.03
If a party fails to admit the genuineness of any document or the truth of any matter as requested under Rule 36, and if the party requesting the admissions thereafter proves the genuineness of the document or the truth of the matter, he may apply to the court for an order requiring the other party to pay him the reasonable expenses incurred in making that proof, including reasonable attorney's fees. The court shall make the order unless it finds that (a) the request was held objectionable pursuant to Rule 36.01, or (b) the admission sought was of no substantial importance, or (c) the party failing to admit had reasonable ground to believe that he might prevail on the matter, or (d) there was other good reason for the failure to admit.
Ky. R. Civ. P. 37.03