Mommies, help me please. I haven't slept properly for three nights now…

Mommies, help me please. I haven't slept properly for three nights now. My daughter wakes up every hour, crying and I can't calm her down, she doesn't take to my breast, I hold her and rock her, but she calms down eventually. I should mention that we don't have any teeth yet, although there's been a constant stream of saliva since 5 months. Now her lower gums are very swollen. I think the reason for her anxiety and sleep disturbances is teething. Tell me, how long did it take for your children's first teeth to erupt after their gums became swollen? I would be grateful for answers ❤️