Postpartum Depression?

I’m 3 weeks postpartum and I thought I’ve been doing good, well turns out I’m not. My husband went back to work this past Monday, so because of that I’m getting maybe 2 hours of sleep until I have to get up and take over taking care of our little one. When I get up to take over that’s when she is the fussiest. All she does is scream for 2-3 hours. I literally will start bursting into tears because all I want is for her to go to sleep so I can sleep. Then I start to get angry and I start to yell at her. I know she can’t help it and I feel awful and cry after yelling at her every single time. I even covered her mouth with my hand once or twice and I feel like an awful person for doing so. Is this postpartum depression?