It's not that Marvel doesn't want to give the female writers Spider-Man, but it's more like if there are too many minis with Spider-Man, there will be an oversaturation character. Kinda like what happens with Batman now or Wolverine in the 2000s. I once heard this from interviews by several creators like Roger Stern, Dan Slott, Gerry Conway, and Gage that Spider-Man is so popular to writers that the usual bloodbath in any creative summits are how the editorial of Spidey fighting that Spider-Man doesn't get appears in every Marvel books available in every few arcs. So, it's not that Marvel doesn't want to give Spider-Man appearances in female book-oriented, but Spider-Man himself is in biweekly books with one monthly side book which means Spider-Man appeared three times a month. It's already three times more appearances than the other flagship book like Fantastic Four, Avengers, and X-Men.
So in my opinion, the only one to get mini like that is by making TASM main series into monthly book to give a room for one more book which is Spider-Man: Team Up in the style of Avenging Spider-Man, but with round robin writers and artist where each writers can strach their itch of writing spider-man. That's the only reasonable way to make a book where Black Widow and Spider-Man mini appeared out of thin air.