According their site, the mouse works with 'Bluetooth Smart Ready device'.
http://www.logitech.com/en-us/product/mx-anywhere2 ( Check System Requirements in TECHNICAL SPECIFICATIONS section )
Bluetooth Smart Ready on Mac means Bluetooth 4.0 hardware with Yosemite or later.
Smart Response Software Download
Find useful information to get the most out of your BlackBerry smartphone or app. Visit BlackBerry Docs If this didn't resolve your issue please try the next option. How to Use Smart Reply in Gmail on PC or Mac. This wikiHow teaches you how to quickly reply to an email message with Gmail's smart reply presets, using a desktop internet browser.
Smart Response Software Download Mac Download
Unfortunately BT on your Macbook Pro (mid 2010) is BT2.1+EDR
( If you want to be sure, Logitech provides a procedure to check the PC/Mac is Bluetooth Smart Ready or not )
Smart Response Software Download Mac Installer
I guess your only option is use of USB hub if you don't have available USB port,