Can I move my Auto Flower outside the last 3 weeks before harvest?

I have a CBD Compassion Lime (Dutch Passion) that is about 3 weeks from finishing,that is starting to smell up the house.I don't have time to build a closed room environment with a filter,so I am thinking just put her outside to finish.Can I do this, this late in flowering without shocking/stressing her too much?I could use the 600w HPS in the shed at night for some light,but it gets too hot during the day,so I will have to probably set it outside for some of the time to get enough hours of light.What would be my best option for finishing this plant (outside of my house) with the least amount of stress/shock?
BTW,the current light schedule is lights on 5:00 am - 11:00pm
any help would be appreciated.

1) put plant container outdoors in sun @ 5 am
2) water when needed
3) harvest as normal

there is no shock, no stress.
growing indoors oodles more stressful to a plant than outdoors.

thanks for the reply!
My next question ,currently our sunrise -sunset is approx. 6:20am -9:00pm, which is about 14 1/2 hrs. of daylight.Is this enough light for an autoflower since they do best with 18+ hours?I could take it in the shed at night under a 600w HPS,for additional light,or would that be a waste of time?

too much bother, itll do fine outside, first couple days Id put it where doent get direct sun all day, it might need to adjust depending on your climate.