The National Highway Traffic Safety Administration has excellent data available on this and similar questions, start with Table 62: https://cdan.dot.gov/tsftables/tsfar.htm
The metric is useless in the first place, this is "per licensed drivers", not "per driver-miles".
It's a certainty that men drive more miles than women, primarily for job purposes. The NHTSA doesn't give enough data to determine this. My guess is that it's split almost exactly evenly per-mile, but who knows, without the data?