If history is any indicator then he will pick a liberal judge.
Mitt Romney is a Liberal, Part 2: Romney appointed liberal judges (06/17/2011)
Governor Mitt Romney, who touts his conservative credentials to out-of-state Republicans, has passed over GOP lawyers for three-quarters (75%) of the 36 judicial vacancies he has faced, instead tapping registered Democrats or independents – including two gay lawyers who have supported expanded same-sex rights.
Of the 36 people Romney named to be judges or clerk magistrates, 23 are either registered Democrats or unenrolled voters who have made multiple contributions to Democratic politicians or who voted in Democratic primaries, state and local records show. In all, he has nominated nine registered Republicans, 13 unenrolled voters, and 14 registered Democrats.