Originally Posted by Purple Squid
The Rose? You give the rose to the window ladies and jump inside for a while until El Odio passes, then you jump out and continue on your way.
I've found that you don't have to use the roses at all, even. In some cases there's an "upper" route you can take (look for fire escapes, canopies you can bounce on...etc.), and in other cases, if you're fast enough, you can make it to the next alley without having to jump in the nearest window.
Just a thought. I've never actually felt like I had to give the women roses.