Good day! My daughter is 3 months old. Between her night feedings, the…

Good day! My daughter is 3 months old. Between her night feedings, the interval increases to 5 hours at night. Is this normal? The subsequent intervals are as before 2.5-3 hours. I put her to sleep at 10 pm, ate around 9:45 pm now it's 2:45 am (5 hours), she didn't wake up, and I gently touch her finger, she turns away, even doesn't open her mouth. Should I wake her up in such cases or wait until she wakes up herself?