yes OP don't give up- a month feels like a long time to you but it will feel like a short time to her because she is so busy. It isn't personal.
For example you could have a whole month that goes like this... it's fictional but the below example is a lot what months would be like with my toddler.
Week 1 - husband has a work thing and has to do 2 evenings late or a night away, mum needs to do bedtimes as well as her work and nights, has 3 days gritting teeth and another 3 days trying to get to bed at 8pm and manage on little sleep. No time to even text friends because you feel so boring and tired you can't think of what to say.
Week 2 - oh! It's that night that we booked the bowling with our other friends, we booked it 6 weeks ago. Crap, the baby needs me to shush and pat for about an hour every night at the moment. Will baby settle? Oh well fingers crossed, we go out anyway. Home about 11.30pm. Baby hasn't slept. Baby screams til 4am. Up for work at 6. Depressed the rest of the week as it's clear trying to make any lifestyle change that includes mum getting free time is bloody impossible. Don't text friend, it's too embarrassing to say that you literally can't go out ever, better to wait til we have some time.
Week 3 - baby seems weirdly unsettled at the weekend I wonder why? By Monday it's clear, she has another streaming cold. She doesn't sleep for 2 nights and cries all day. Mum can't even put a load of washing on or cook a meal. This sucks. By the end of the week mum is feeling pretty unwell too. At weekend dad takes angry snotty toddler, mum tries to sleep in the day. Toddler screams keep her awake anyway so that doesn't really work.
Week 4 - some admin to do! Still got a cold because they don't go away quickly when you are sleep deprived. Repaying the car insurance seems to take a whole evening as mum is knackered. In any given day there is about a 30 min window to make calls and text. This week, grandma needs some help sorting something out, so mum uses her small window of time and brain space to do that. Suddenly it's Friday. Oh no, I haven't rung my lovely friend for ages! I'm sure she will understand.