Don't worry. I read the light novel until the current arc and there's no romance whatsoever. There is one wedding arc where one of the guards of the duke got married and that's it. There might be in the future once Ryouma is an adult but so far not even a glimpse of it can be seen. It's just a story where Ryouma is enjoying his life, that's it.
https://jigglypuffsdiary.com/the-man-picked-up-by-the-gods-reboot/
Sadly it's not regularly updated. Like maybe once in a blue moon new chapters appear. I suggest you read only up until chapter 268 which is the end of Gimuru arc.
Mc better not fall in love with the little girl