you do you op. I am a hairdresser and after lockdown pt 1 I have had a few clients considering growing their grey out, because they don't want to be stuck with a choice of massive roots or a DIY job, and I have been happy to help them with managing the transition, I am definitely more about giving people hair that works for them than pushing a service on to them. I think we will see a definite cultural shift in attitudes towards grey hair on women.
hair is definitely a big part of how we project our idea of ourselves into the world, and a change in hair can feel like a big deal, particularly if it's partly or wholly due to circumstances beyond your control. You've correctly identified that seeing grey hair = 'old person' is more to do with cultural attitudes towards how women are allowed to look rather than it genuinely being more ageing for a woman to be grey than for a man.
on to what you can do. there's what to do in the long term, and what to do in the short term. to help yourself stay motivated to stick with the grow out, make a Pinterest board/screenshots folder of hair inspiration pictures. look at facebook groups such as Going Gorgeously Grey or insta hashtags like #shegreygrey. Then have a think to yourself, the women in the pictures you like, what else is it about their look that you like? what sort of colours/styles do they wear in terms of clothes and make up? and start to think about overhauling other aspects of how you look, so that when the grow out is done, you'll have this whole image, which is a deliberate style choice on your part, not forced on you by time, age or lockdown, just you, expressing something about how you want to present. It's putting yourself back mentally in control of how you look, after feeling that that control has been taken from you, and relearning that shock horror it is possible to be a woman over 40 and a grey haired one at that, and STILL have fun and joy playing with your appearance.
tinting your brows and lashes, if they are pale too, will help you feel less washed out.
as for how to manage the half and half hair, if your hair is shoulder length, have a look at easy up does. having the coloured part of your hair back and away from your face will make it more normal for you and anyone you go on a zoom call with to see yourself with your natural colour. Even something like hair stuck back in a twist with a hair claw then a scarf or bandana tied round like a retro land girl/ rockabilly type look takes seconds and looks like 'hey I did a thing to my appearance' rather than 'this is what I look like mehhhhhhhh' . depending on what your style is obvs. messy buns, twists, Gibson rolls etc are all a piece of piss to master and either disguise two tone hair or make it look like a deliberate thing.
Good luck to you with it. And there is no shame in thinking hmm well actually I kind of want to go back to colouring my hair, if that's what you decide to do. If you do this though, I would wait until salons are back open and go in for a proper consultation at a really good one and talk through some options about lower maintenance services like foils, and what type and shade of colour will be less ageing and not give you such harsh root demarcation. As our hair loses pigment, our skin colour changes too, this is why it looks so bad when people continue having the exact same hair colour they had when they were younger. so you may want to look at lighter, cooler, ashier tones if you do go back to colouring.