I'm sure plenty of people had strong reactions to that speech Hillary just gave. For my money, the two most outrageous sentiments expressed were (and this is from my rough contemporaneous notes):

1.) "What does Hillary want? ...  I want the nearly 18 million Americans who voted for me to be respected, to be heard, no longer to be invisible." Then, a little later, "...Opportunity--that's what I want for every single American… It is a fight I will continue until every single American has health care, no exceptions, no excuses."  

When Hillary says she wants her 18 million voters to be respected and heard, but opportunity and health care for every single American, she seems to be saying, pretty unambiguously, that not giving her the nomination--not privileging the will of her voters--would be an illegitimate outcome. (Otherwise, why not say you want every single American "respected and heard"?) That's a pretty inflammatory comment.

2.) "To the 18 million people who voted for me, and many other people out there… I want to hear from you… I’ll be consulting with supporters and party leaders, to determine how to move forward, with the best interests of our party and our country in mind."

So she's going to leave it to her voters to decide whether she should accept defeat after having, you know, lost? What if every losing candidate left it to their supporters to decide whether or not to accept the outcome of a race? Who would ever accept defeat?

What good could possibly come of this? With Hillary proclaiming herself the legitimate winner, they're clearly going to say "keep going." If she actually does keep going, that's a disaster for the Democratic Party. And if she doesn't, you've just drawn a ton of attention to the fact that a large chunk of the party doesn't accept Obama as the legimiate nominee. No, worse: you've encouraged them to think that, then drawn attention to it.

What a disaster.

Update: Here's the precise version of the first quote:

You know, I understand that a lot of people are asking, what does Hillary want? What does she want? Well, I want what I have always fought for in this whole campaign. I want to end the war in Iraq. I want to turn this economy around. I want health care for every American. I want every child to live up to his or her God-given potential, and I want the nearly 18 million Americans who voted for me to be respected, to be heard and no longer to be invisible. ...
 
This nation has given me every opportunity, and that's what I want for every single American. ... And it is a fight I will continue until every single American has health insurance. No exceptions and no excuses. 

A commenter expressed confusion about my point here, so let me put it slightly differently: Taken by itself, it's a little unclear what Hillary means when she says she wants the 18 million Americans who voted for her to be respected, heard, not invisible. Wanting people to be respected, heard, etc. is a legitimate desire, just like wanting them to have health care and to live up to their God-given potential. It's when Hillary says she wants the latter for everyone, but the former only for her supporters, that things start to get weird. That's how you know she's essentially saying, "Those 18 million votes should make me the nominee."

And here's the second quote:

But this has always been your campaign, so to the 18 million people who voted for me and to our many other supporters out there of all ages, I want to hear from you. I hope you'll go to my website at HillaryClinton.com and share your thoughts with me and help in any way that you can.
 
In the coming days, I’ll be consulting with supporters and party leaders to determine how to move forward with the best interests of our party and our country guiding my way.

--Noam Scheiber