Congratulations on your new puppy!
I definitely think she will outgrow her submissive peeing. Chelsea used to do this whenever I came home, or when she got overly excited. She's now 18 months old and now it happens only rarely - very rarely. Actually, I haven't seen her do it in several weeks.
I feel so guilty for leaving my babies while I'm at work. But I have to work to keep them healthy, happy and well fed. Plus, they have each other to keep them from getting lonely. We spend lots of time loving and playing on the weekends.
As far as potty training while I'm at work most days, I'm blessed to have Alexander. He's the role model for the youngsters and they try to imitate everything he does. He's 13 1/2 years old, and has been potty trained since he was a pup, so he helps me show them how it's done. We do still have accidents, and pee pads are a huge blessing, especially with all the rainy weather we've had the last few weeks (they don't like to go out to potty in the rain

).
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He is your friend, your partner, your defender, your dog. You are his life, his love, his leader. He will be yours, faithful and true, to the last beat of his heart. You owe it to him to be worthy of such devotion. -- Author Unknown