Feeling angry ☹️

I have a 6 week old and a 2 year old. The nights have been tough because I find myself getting SO frustrated and wanting to lash out at my baby. I want to yell, I want to throw in the towel, I just want her to be QUIET especially around 4-5 am because if the toddler wakes up at that time she might not go back to sleep. I'm so tired of being tied to her 24/7. She's a harder baby in almost every way than my first and I wasn't expecting that. She is harder to soothe (hates pacifiers), harder to get to sleep, and harder to keep asleep. I mean really it's just the sleep - during the day we are fine and she's so cute and I love her so much. I just hate who I become at night. My husband will try to soothe her but I usually have to help and give her a boob because that's the only thing that works. How am I supposed to leave the house ever? It's already hard to feel like your own person during this time and it's just worse with this second baby. I feel overwhelmed and like something is wrong with me. I already had my postpartum checkup at 2 weeks (that's when my midwives wanted to see me) and I'm going to see my therapist next week. But I don't want to be this angry person because I know she's just a baby. I guess I'm just looking to see if other people felt this way and if it got better. Please don't tell me to "just enjoy the cuddles" because it's impossible to enjoy anything when you're sleep deprived. And I know there are growth spurts and wonder weeks around this age, I am really hoping it gets better soon.