Hi Wigglerose!
Sorry to hear you're having a shit time. I think plenty of mums struggle, it's just not everyone admits it! I am currently awake with husband snoring like a f*&%ing train and a 5 month old with rivers of snot.
A few things that might help you (full disclosure, just regurgitating what a mum& baby coach told me when my daughter went all day with only a 15 min nap!!)
If it's just a one off day of no naps, then don't panic. Could well be a developmental leap or something blah and won't cause any permanent damage.
Do you have a routine during the day? For her age 2 or 3 naps, with 3-4 hours sleep total during the day is the goal apparently.
If no routine, or you are just feeding on demand etc, then look at how you put her down for a sleep. Can she self settle or do you have to nurse her to sleep? You might get on well with one of the big round cherry dummies if you want to use one. It will take a few gos to get her to accept it. Use the 5 S's to help her sleep (easily googleable) you don't have to do them all, just whatever works. Ideally big feed = big nap. Your baby might be slightly too old for swaddling but a blanket or muslin can still make them feel secure.
Is she feeding well and seems content with a full belly, easy to wind etc? May have some underlying reflux or digestion issues so worth flagging it to HV/GP, or suitably qualified person.
At the end of the day, it's your baby, your life, your nipples etc 😅 so do exactly what you want to do, but it sounds like you desperately need sleep and rest, and time to chill. Despite what some people say, you are a priority too, and if you're constantly knackered, then it does your baby or your family no favours either. Fact.
If you are comfortable with the idea then look into transitioning baby into a cot, in a separate room if you can. Also, think about sleep training. Before anyone starts shitting themselves, strict CIO methods are only one extreme option. Its a whole spectrum. And there are no long term attachment issues with it, and you and your baby will both be much happier if you both sleep well. Don't know if you're on Instagram but follow The Peaceful sleeper (v annoying American voice but loads of useful free content) or The Parent and Baby coach, think her name is Heidi and she is London based. Again loads of info and podcasts etc if that's your thing, both are mothers, and give realistic, practical, science and evidence based advice.
You don't have to give up BF to ST. Do you express or combi feed? If BF is making you miserable, you can either seek out a lactation consultant or BF network support groups to help you, or you can just switch to formula. Both are fine. Neither will kill your baby. The slightly difficult truth is that BF is only free if you place no value on your time & energy. I think the only thing to consider is if you continue to BF then your baby will find it easier to settle in a different room as they can smell your milk. If you go for formula but you're worried about ingredients Kendamil is UK made, no palm oil/fish contents etc, organic option too.
I wish you all the best. PM if you want in depth info on how we did ST. And sorry for the essay but I'm still awake so might as well be useful.