Small body = harder vaginal delivery?

Im already scared enough of being induced this week(due to no labor sign @39w) really hoping will still end up with natural delivery instead of csect. And my MIL’s mouth just doesnt help. I am petite with a small - average body frame, altho my baby bump is big. She told me if i have smaller hip/body, will be harder for me to give birth vaginally? Is it true ? Any petite mummies able to birth vaginally without issue ? #FTM