I have not heard this before.
What is your evidence that women have slower reaction times to men?
There are quite a number of peer review studies into this but I find this one one of the most interesting in that the difference is insignificant in childhood, marginal in adolescence but as you move into adulthood the gap widens.
(PDF) Sex Differences in Reaction Time Mean and Intraindividual Variability Across the Life Span
PDF | Men are often found to have faster and less variable reaction times (RTs) than do women. However, it has not been established whether these... | Find, read and cite all the research you need on ResearchGate
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