Looking at your routine, these are the adjustments I would make:
6.30 alarm, 6.45 get up. When the alarm goes off, get up. So 6.30. Make your bed. Shower, dress. Nip down stairs and pop the kettle on, start the washing machine.
7.00 Make sure DD is up, remind her to make her bed. She could also get dressed now. Whilst she is getting up, prep breakfast. Whilst you are prepping breakfast, run the sink. Make your tea.
7.05 Eat breakfast.
7.20 You both carry breakfast things through. DD takes washing off dryer etc. You wash up.
7.30 DD finishes getting ready. Do your makeup now. Say 15 minutes?
You now have a few spare minutes in the mornings. You could prep veg for dinner or stick something in the slow cooker, put the washing out.
8.15 leave the house.
5.30 Get home. If DD has been at wraparound can she do some homework there? Instrument/sports kit etc, bags by door for the next morning as you come in. Set DD up with rest of homework. Check on dinner/ switch dinner on. Help with homework. Make sure DD packs her school bag back up. Admin. Run sink.
6.00 Eat
6.30 DD gets any breakfast things ready she can (bowls, spoons, cereal boxes, your tea mug except milk and water) and then she can have her screen time. You wash dishes, any last bits. Load washing machine ready to switch on in the morning.
7.00 DD bath, you put your washing away. Leftovers will be cool, do lunches now.
7.30 Give DD her washing to pop away. You could wash and change now. Once she's done that and made sure her room is tidy. You can chat for a bit and then she reads until 8.30. She sleeps.
At weekends, you spend 15 minutes in each of bathroom/ kitchen/ living room together. Blitz. She is old enough to dust, hoover etc. She can then dust and hoover her bedroom and strip her bed while you do yours. She folds washing and you can take care of any big jobs like cleaning the oven.
Just giving her a couple of daily chores (making her bed, getting breakfast things ready, packing her own bag, putting her own washing away and cleaning her room) that take a couple of minutes each will still give her plenty of time, but will buy you extra time as well. It will also teach her a level of independence, organisation and responsibility. She'll have the benefit of her mum not being completely knackered all the time.