First of your little Chloe is adorable! And I definitely know how you feel about being concerned about getting her spayed. My Bella had her surgery when she was about 7 months. One of the best pieces of advice that anyone gave me was getting her a baby onesie so that she would not be able to bother her stitches. Other than that I gave her lots of hugs and cuddles and she was running around and acting like her true self within a few days.
I hope all goes well for your little one.