IPhone 5S Accessory Advice?

Okay, so I plan on getting a tempered glass screen protector that is.33mm in thickness, but I also plan on getting an Otterbox Defender with a built and screen protector. The case will surround the front of my phone which is where the.33mm tempered glass screen protector would go. Do you think that the screen protector with.33mm thickness will interfere with putting on my Otterbox? Do you think it won't fit?

It can definitely fit.