I have a suggestion... To thine own self be true. It's my personal opinion that if you start pandering to the wants of every reader out there, the foundation you created for your story will be compromised and you'll be rewriting your entire plot every other chapter just to keep up.
Another thing to consider, a lot of people want instant gratification, myself often included. We want to get to the
GOOD PARTS and we want to get to them
NOW... Take the previous statement with a grain of salt, however. Instant gratification while great for the moment, is less satisfying in the long run. Build your story up, frustrate your readers just as the characters are getting frustrated. Build the relationship at a pace you envision as realistic for the scenario. Send your readers through a roller-coaster of emotions before you finally give them the prize. Throw some angst in for good measure. It will be more rewarding journey for both you and and your readers in the end.
As for the story itself... I don't think it's unreasonable for Kagome to be hung up on Inuyasha. If I was told my best friend/crush had to be killed for the greater good, I think I'd be be waffling between denial and devastation myself. I think if you had her forsake Inuyasha too easily, it would portray her character as shallow. Sesshoumaru's callous attitude towards Inuyasha's fate and Kagome's feelings hardly wins brownie points towards a lovey-dovey relationship either.
Now, some people may stop following your story, try not to worry about that too much. Others will still be reading it. You can't please everyone -- we're too diverse. Just focus on pleasing the people who like your story the way it is... the rest can find something better suited to them elsewhere (I'm betting they'll be right back with you reading your next chapter though).