I'm not sure exactly how much play you're talking about. Adding the VQ kit can cause some play in the components due to manufacturing tolerance mismatches between the stock Ruger pins and the VQ parts. Another possibility is that now your trigger pull has cleaned up sufficiently enough for you to now notice this play that otherwise went unnoticed with the loose Ruger stock trigger parts installed.
Many people have mentioned side-to-side play with the VQ trigger but not many have mentioned back-and-forth movemtent. Assuming that you're not talking about pre-travel, the hammer bushing can also cause this kind of problem. I actually made a new bushing by chucking up an old drill bit into the lathe and turning out a new bushing. The squishiness of the trigger was removed after hand lapping this new bushing to custom fit the hammer and the hammer pin. This procedure is not an "everyone" remedy for this type of problem, since I know that most folks don't have ready access to a metal lathe. But, I now have a "first rate" trigger break on my Ruger. You can check to see if the hammer bushing is causing the problem by field stripping the pistol and attempting to wiggle an untensioned hammer (mainspring assy not installed) while the hammer is installed in the frame. If it feels loose or sloppy in the frame, then this could be your problem.
If your pistol is that bad that the play is bothersome to you then perhaps you should return it to the gunsmith who installed the kit for you. Especially, if you feel there may be a safety related problem with the installation. If anything he can provide you with peace-of-mind concerning the installation or he can substitue in other VQ parts that may fit to your gun's tolerances better.