If you are concerned about whether the noise is an issue then manually open the image in MSPaint or something similar, remove the noise and then run the new image through the OCR. This is the best way to learn how the OCR engine works and what confuses it and what doesn't. Every OCR engine works differently.
In this case it could be the small bits of noise are confusing the character zoning process as well. You should check the bounding box values returned from the OCR engine to see if the OCR engine is even looking in the correct location for your word or character.
Some OCR engines have options to remove noise from an image during the OCR process. This is often called depspeckle or noise removal. It would be possible to remove noise using Leptonica ( http://www.leptonica.org ) which is now part of the latest Tesseract images.
Screen fonts present a big challenge to OCR engines because the DPI is often very low. In the case of your 'E' there should be more than enough pixels to be recognised. The heavy stroke weight could be confusing the engine.
Also the commercial engines will usually be more accurate than Tesseract but will also come with expensive licence fees.