Indeed, in your theme CSS dir (I was typing that at work, and checked the code later on). I even use the standard wordpress function calls get_stylesheet_directory (to check for the existence of that dir and file) and get_stylesheet_directory_uri (to give the css url to the browser).
So if your theme does not register a CSS subdir with wordpress, wordpress (and by definition EME) doesn’t know where to look for the extra CSS file.
In other words: not the best of themes, but maybe it’s the intention of the theme developer. Like I said: learning CSS always helps.

Read other posts: if you ask friendly, you get a friendly response; if you refuse to learn anything, then I’m like a teacher. My first post to your question already showed a possible solution, based on the little info (no site url) you gave in your initial post.

Concerning my mistake: I pointed you to the doc, and then I made a mistake afterwards which I admitted (while I was at work, trying to help you along btw). Then saying that you’ll just have to believe me is wrong: try e.g. one of the standard themes and put eme.css in their css dir, it will be present in your html-code afterwards too. I had and still have to prove to many people that the theme they’ve chosen is pricey and badly written. I’m beyond complaining about bad themes, but don’t try to blame their mistakes on me.

For the rest: CSS is out-of-scope for EME. If you buy dreamweaver, even then you’ll need to understand CSS. The whole user experience is based on the layout of your site, so I give everybody the possibility to adapt everything via CSS by providing names and id’s to all html tags, the rest is up to them.
You were even “unfriendly” to me (look at your posts above), because I was not giving you the solution (which in fact I did in my second post, because you gave the site url only in your 4th post) but because I only pointed you in the right direction. Putting text in bold doesn’t help anybody but is just shouting and not polite at all.
Even then, you saying the following: “but not if I can’t make it work the way I need it to, and not if I have to learn CSS to make it work the way I need it to” is in no way showing appreciation of a tool I worked years on. If you refuse to see the technical implementation separately from the layout, that’s fine by me but don’t come asking me every time you want to change the colour of something. Imagine that all users come to you because their site is not looking the way they want it to … you’ll quickly start pointing them to the CSS manuals too.

I never intend to become rich by developing EME, I’m counting on donations to keep my coffee flowing while developing and helping people along. I get many promises about donations if I can fix a problem for them. Many times I do log in into their admin-backend and fix their problem, only to never hear from them again. I can do better things with my time, but I try to help everybody along; as I also gave you the CSS-code after you posted the url to your site (which you should have done in the first place, my mistake was not asking for it immediately).

Edit: based on your comments, I changed the text of the doc concerning CSS a bit, to help people along more.