I see problems with the words "and," "consistent," and "public manifestation."
The word "and" is problematic because it means you may have a transgender identity, but if you're not showing it then you probably are not protected. For example, if you have sought counseling because of gender identity problems, but you are not yet altering your presentation to show that identity, then you likely are not protected. The word "and" means you have to have both the identity and some public showing of it.
"Consistent" could be ambiguous as you suggest, but I think it most likely refers to presenting the same way. So your example of a person who is a man at work and a woman outside work (or vice versa) is also not protected.
From a compliance perspective, this is also problematic. If a business owner, for example, is trying to comply with the law, how are they to know whether the person consistently presents that way? As Senstor Raskin put it when I raised the point last year, "this language is not even fair to discriminators."
"Public manifestation" is also problematic. It means our just-starting-out person is not covered. But it also means that a crossdresser in the privacy of their own home is not covered if they are found out, for example.
So I think this amendment is very bad news. This is the same language that was pushed by Gender Rights Maryland in 2012 and it caused a big fight in the community.
BUT I've been in touch with my former colleagues at the Coalition who understand the problem and are working to fix it. I think we should give them a chance to do so. I'm going to sit down and wait to see what happens before I do anything drastic. And I'm going to make sure to be in Annapolis for the floor debate both to see that something does happen and just for the fun of it.