I feel that Jessica Drew would fit into Spider-Man's world as well because their respective social circles migrate with each other. For example, Batwoman appears in Batman's world in a reoccurring guest spot. When Batman appears in Batwoman's world, he does take the spotlight away from the protagonist.
In name only. Black Cat would have been more of a film noir character in Spider-Woman. She wouldn't have been clad in spandex and jumping around rooftops. Marv Wolfman took the name with him and had Dave Cockrum create the look for Felicia that debuted in Amazing Spider-Man (the first issue of AMS I bought -- not including Marvel Tales which reprinted the series).
It's generally a bit of a Marvel issue that some characters have rich rogue galleries and others don't even really have reoccurring baddies let alone those that are specific to them.
"̶l̶̶e̶̶t̶'̶s̶̶ ̶̶h̶̶a̶̶v̶̶e̶̶ ̶̶s̶̶o̶̶m̶̶e̶̶ ̶̶f̶̶u̶̶n̶̶,̶̶ ̶̶t̶̶h̶̶i̶̶s̶̶ ̶̶b̶̶e̶̶a̶̶t̶̶ ̶̶i̶̶s̶̶ ̶̶s̶̶i̶̶c̶̶k̶̶.̶̶ ̶̶i̶̶ ̶̶w̶̶a̶̶n̶̶n̶̶a̶̶ ̶̶t̶̶a̶̶k̶̶e̶̶ ̶̶a̶̶ ̶̶r̶̶i̶̶d̶̶e̶̶ ̶̶o̶̶n̶̶ ̶̶y̶̶o̶̶u̶̶r̶̶ ̶̶d̶̶i̶̶s̶̶c̶̶o̶̶s̶̶t̶̶i̶̶c̶̶k̶̶"
"Let's have some fun, this riff is sick. I wanna mosh around in the Circle Pit!"
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I hate the possessiveness when it comes to villains. If they are not being used in their "main heroes" book put them to use elsewhere. Don't go all Acts Of Vengeance about it...but maybe Spider-Woman has to fight the Force of Nature from the original New Warriors. Or Cap, Falcon and Bucky (and maybe a couple other Cap partners) have to fight the Sinister Six.