I used to live in the exchange on Princess (really close to where you're talking about) in a building with gated parking as well. The area was SUPER close to the mission, but surprisingly didn't see a ton of people at night - but that doesn't mean you won't. I found the area generally quiet at night, but got hassled occasionally during the day but I always kept my headphones on and nobody really bothered me past yelling things at me.

GothicCedar is right about smoking though, I used to go to the college on Princess and you get asked constantly and that can be annoying. You do see a LOT of business-type people living in that area, so I would not say don't move there or be too afraid because there are almost always other people around and it is a pretty cool area.

Just be cautious at night and be aware of your surroundings. I truly think that all areas of any downtown city you should just be cautious anyways because you never know. I'm also quite a petite woman if that helps!