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Did you disable play store?
Goto Settings >> Apps >> All apps >> Google Play Store >> Enable
I had problems with the SD card and as a result, formatted it. I can't see Google Play Store in the Applications
Again, the Play Store app being a system app it's not an app that can be readily deleted. Assuming you have rooted your Desire S, yes or no? Installed a custom ROM?
https://www.gsmarena.com/htc_desire_s-3776.php
To be honest I just don't remember what was possible with Gingerbread. Hopefully others who do will chime in....Is is possible to move the google play store app to the sd card?...