I have all the Batman comics including the ones with Catwoman.
I read them over and I analyzed out interaction.
From what it seems, there has been a mutual attraction from the very beginning since Batman #1.
Catwoman is known as the femme fatale, but she was actually depicted as having genuine romantic feelings for Batman.
She wasn't a lady that was just toying with Batman's emotions. She wasn't into killing people.
Batman #1 - Batman let Catwoman get away. Well...Robin thought so. Batman clumsily bumped into Robin when Robin was trying to catch Catwoman from escaping off their boat. Batman was attracted to her.
Batman #2 - Catwoman didn't want the Joker to poison Robin to death.
Batman #3 - Catwoman kisses Batman and then pushes him to get get away. Was it from a romantic attraction or was it to get away from him?
Well...the issue ended with her driving, wishing that Batman was driving and she was sitting beside him just as another boy and girl out for a ride on a moonlit night and that it would be sort of nice. This showed that Catwoman definitely had romantic feelings for Batman.
Batman #10 - Catwoman kisses Batman for saving her life after a bad guy was going to shoot her. After she kisses him, she got away. Dick even said that Bruce wanted her to escape
Batman #15 - Catwoman is in love with Bruce Wayne and actually wants to reform. Bruce Wayne takes advantage of that to try to get Catwoman to reform. Catwoman sees Bruce with another woman, and she gets suspicious. She pretends to be that same woman and talks to Bruce, and she comes to conclusion that Bruce doesn't love her and so returns to being her old self.
Batman #39 - Catwoman saved Batman from getting shot by a crook when he was lying on the floor unconscious. Catwoman wonders why she saved him and she thinks that she's confused.
Batman #47 - Catwoman kisses Batman when she's in a disguise in connection to a caper.
Batman #62 - Catwoman saves Batman from the wall of a condemned building which led to her knocked unconscious. This is where it's revealed that she has amnesia. Catwoman helps as a police operative.
Detective Comics #211 - Catwoman left a knife and silken cord in Batman's utlility belt, knowing that Batman would use it save his life. She had claimed that there was nothing in his utility belt. She had recommended the bad guys give him back his costume and utility. Batman knew that Catwoman actually helped him. Robin even told Batman that she's always been soft on Batman.
Detective Comics #369 - The end of the issue shows Selina reading the paper about the new Bat-Girl.
She says "She has her nerve trying to cut herself in on my man. I've known Batman a lot longer than that Jill-come-lately. If he belongs to anybody, he belongs to Catwoman." In her mind, Batman is her boyfriend. She obviously is in love with Batman and is very possessive of him.
Batman #197 - Selina/Catwoman puts on a green costume for the first time. She competes with Batgirl for Batman's love by being a crimefighter too, making Batgirl look bad. She wants Batman to marry her and she even sets a trap for him and wants to get her to marry him. Damn...........ummm....Catwoman didn't seem like a femme fetale. She's more like fatal attraction (if I can't have Batman....nobody can), but she's not into killing. It's that her love for Batman makes her act irrationally and erratically. Batman says that Catwoman loves her. Robin responded by saying that everybody knew that except him.
Batgirl told Catwoman that she wasn't even romantically interested in Batman. Catwoman was jealous and competed with Batgirl for nothing.
Batman #256 - Bruce looks at picture of Catwoman/Selina in Batcave, and he says "Whenever I meet a woman that I care for, she's an enemy and that's my curse"
I get the idea that Bob Kane actually created Catwoman to be a complicated love interest for Batman from the very beginning. It's very obvious when you read the comic book issues. She even shows an actual attraction to him by the 3rd issue. Batman showed an attraction to her in the first comic.
There some love-hate dynamic, but it's more love than hate. It's more about the fine line between love and hate. Batman wants to reform her.
It also shows that Selina/Catwoman was in love with both Batman and Bruce Wayne.
Throughout the history of comic book, There is a love-hate relationship with Batman. Catwoman is in love with Batman, but at the same time she hates him (or to put it more accurately) or is angry with him for getting in her way to foil her crimes. She never showed any desire to hurt or kill him to the point that she even saved his life from being killed by others numerous times. She also showed a certain possessiveness towards him. She also was in love with Bruce Wayne. She also has history of reforming but reverting. There has always been an ambiguity about her, and it's strongly connected to her feelings about Batman.