https://www.thejc.com/news/israel/frum-friends-storms-israeli-primetime-1.13605
“There was the male character who spent the night with a woman only to panic in the morning that he had no tefillin. But he refused to borrow from a neighbour, considering the tefillin on offer contaminated the tefillin-owning neighbour was a woman.”
Rashi was our great teacher. His daughters laid Tefillin. There should be a distinct difference, but women should be able to engage the mitzvos if Torah does not prohibit their observance by females.