Cat sedation help

Hi guys has anyone had experience with cat behavior after sedation? Please let me know because im extremely worried my cat is dying. So today i took my cat to get her ears cleaned because she had a horrible infection and they sedated her. Everything went well. When we got home she was wobbly and would fall after a little walking. Its been multiple hours since the sedation and shes just sleeping and is really limp. Has anyone had this experience. Did your cat bounce right back?? Please let me know. She also drags her back legs where the sedative was injected