You are saying would have preffered to keep the y-axis in the middle of
the plot where this divider line now is.
An easy way is to use Labeled with Plot since Plot keeps the y axis in the middle while Frame->True moves it to the left where you do not want it.
Labeled[Plot[Sin[x] x, {x, -3, 3}], "E/T"]

Labeled has many option to allow different placements and alignments and such, so it can actually be used instead of the plot labeling. The only thing to keep in mind, is that symbols used in inside the Plot, such as those used by PlotLabel are automatically set in TraditionalMode while those set by Labeled are not and you have to do that yourself if you want that typesetting. Compare the typesetting below on the labels:
Grid[{
{Labeled[Plot[Sin[x] x, {x, -3, 3}, ImageSize -> 300],Sin[x]]},
{Plot[Sin[x] x, {x, -3, 3},AxesLabel->{Sin[x],None},ImageSize->300]}
}, Frame -> All
]

But this is easy to handle. Simply use TraditionalForm for `Labeled, like this
Clear[x];
Labeled[Plot[Sin[x] x, {x, -3, 3}, ImageSize -> 300],
Text@TraditionalForm@Style[Sin[x], 16]
]

edit
To answer the comment about exporting;
I just saved the image using Save Selection as eps, and labels are there

I am on Linux, and Export in the version of Mahematica I am using is not supported. But it seems to save .eps just fine.