To be fair, if the OP has reduced energy intake to the minimum healthy level, some exercise could be beneficial - not just in energy expenditure exercising itself, but in increasing muscle percentage, as that increases TDEE. And after a prolonged period of restriction, it'll also be good for bone health to do weight bearing exercise, improve core strength to make normal living more comfortable, that kind of thing.
OP, you could try bargaining with yourself - just ten minutes (or five). That short period could be entirely yukky and you're relieved to stop it, but you've done it anyway - just something small, sit on the bike and pedal normally and you've beaten the block in your head that's saying 'I can't do/be arsed with a 45 minute high intensity routine with some shrieking tigger type on an exercise video' or whatever it is that you detest the most. You've got on the bike, you've moved your legs, yay.
You could do a tiny wiggle of your toes and stretch your legs out when you wake up and go to bed, maybe make a point of engaging your core muscles to get out of bed or a chair, a few circles of your ankles and a little leg raise from the sofa, a couple of calf raises in front of the fridge, sink or when you're on your way to the bathroom. Two carrier bags of fruit and veg being carried in through the door to the kitchen? Instead of trailing your arms and then dumping them on the counter, set your shoulderblades back and down, tense your biceps slightly and do five mini curls as you walk to the counter.
They are all exercise - micro exercise - but exercise nonetheless. Don't let intimidating, sweaty, time consuming perfect get in the way of doing something.
Sometimes, you'll decide 'Ah, I'll do another five/ten'