If you can reinstall windows with the recovery disk without destroying your Mint installation, the procedure I would recommend is as follows:
1. Download Super Grub2 Disk here:
http://www.supergrubdisk.org/categor...2-disk-stable/ ;
2. Detailed instructions for using this boot disk are here:
http://www.supergrubdisk.org/super-grub2-disk/ ;
3. Get your windows recovery disk and reinstall windows;
4. After your windows installation, grub will be overwritten by the windows bootloader and you will not be able to boot into linux. Use your Super Grub2 Disk to boot into your linux Mint installation using the instructions in the above links;
5. Once you've booted into linux Mint, open a terminal and run:
Code:
sudo grub-install /dev/sda
That should restore grub and, on reboot, you should see your old grub boot selection menu.