Hello and welcome.
Your Mid 2010 Mac mini takes 204-pin PC3-8500 (1066 MHz) DDR3 SO-DIMM. The Mid 2011 models take 204-pin PC-10600 (1333 MHz) DDR3 SO-DIMM. Normally, RAM is backwards-compatible with the previous version, but this RAM isn't officially compatible.
It should work, albeit at the slower clock speed of 1066 MHz, but I personally would look for the correct type.
Hope that helps,
C