I think lykeion (BTW, welcome!) missed the English-Dothraki dictionary because the only place where it is listed as available is on page 1 of this thread. Perhaps a link could be added on the website homepage.
And as Ingsve said, the English-Dothraki dictionary is not as well-formatted, as it is automatically generated (by some rather convoluted code) from the Dothraki-English version. One other interesting thing that happens in the English-Dothraki dictionary is that a large percentage of the verbs end up under T in English, as the infinitive form of the verbs ('to verb') is the lexical form of Dothraki verbs. If you find anything really strange in there, please let me know about it on this thread.
The dictionaries are fully searchable, both in English and in Dothraki. Your best bet is to search for English terms in the Dothraki-English dictionary, and use the English-Dothraki dictionary for words that are challenging to search for in the Dothraki-English dictionary.
The wiki is supposed to be more authoritative in terms of vocabulary, but it is not as searchable, and it is certainly not very portable or printable. The English dictionaries are also the base from which translations into other languages can be built. There are tools available to make it easy for a non-English speaker to easily maintain a version of the dictionary in their own language. And that dictionary would 'live here' so everyone has access to it.
Right now, though, the dictionary is more up-to-date than the wiki, as the recently-released sword fighting terms have been added. I try to update the dictionary weekly, but that has been difficult the last few months, with some major changes that have happened with our hosting service and a series of vexing (and expensive) problems with the server computer. It is hoped that all of that is behind us now, and the server is working better than ever. BTW, the folks over at learnNavi generously give the server space to make this site possible.
In the works for the dictionary is a group of tables that contain the basic inflections for nouns and verbs. This is not a full grammar, but those parts of it that have to be rote-memorized, and that should be a useful quick reference to a Dothraki speaker. I would also like to add a section of non-in-world words the community has come up with (with David Peterson's encouragement!), that help make Dothraki a language that can be useful every day. Finally, I want to make some changes to the dictionary itself, that would allow the listing of root forms of words, example sentences and canonical citations, without otherwise changing its basic layout. Suggestions for improvement are always welcome.
And Ingsve, the new word esemrasalat is (I believe) a verb and not a noun (It is listed in the wiki as a noun).