If you had it set up and you don't like the action, take it back to the guy who did the work. A setup is only complete when it's to the liking of the player.
Otherwise, it's impossible to tell you what to do, because five seconds looking at a guitar tells you more than three paragraphs of text. The basic components of a setup are to check/set for adequate neck angle, adjust for desired relief, then adjust bridge height to achieve desired action and set intonation (+/- fretwork if it precludes proper action).
Either take it back, or take it to someone who can do a proper setup. A good setup makes the difference between a guitar that is a chore to play and one that is a joy.
However, there's not harm in raising the bridge as you suggested, but bridge height might not be the only problem.