If i added my hotmail acct to my gmail acct on my lg g2 can i delete my outlook app?

A

AC Question

I cannot get all my emails with the updated outlook email app on my phone. I added my hotmail acct to my gmail acct and it works great now. Can i delete my outlook app from my phone and still get my hotmail emails through gmail without it??!!
Am i making sense??!!
Thank you!!