How to apologize for not being able to go to the interview because of the heavy rain?

I'm sorry I can't go for personal reasons.

If it rains, you don't want to go to the interview. You can directly tell the recruiter that you can't be present on time due to physical or other reasons. I hope you can adjust it.

Generally speaking, if it rains, you can arrive at the interview market on time by bus or taxi, so you should overcome it.