Is there something wrong with an oil painting of a beautiful girl? 
It seems to me that anti-aliasing will turn the image 128 x 128 into an oil painting
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No worries, my friend! I can understand your English well. 
Anti-Aliasing can make a picture less pixelated for sure! Banding causes it to appear more pixly and can cause your eye to see the grid of pixels. Sometimes that can throw a person out of your art. I hope I didn't offend you by that suggestion, I just thought you might like it to help smooth your picture a little. Either way, keep up the good work! 
Nice! It looks good. There's a couple things that could be addressed. You should make it a practice to upload your art at 1x wherever possible. It helps to keep the file sizes down in the gallery. There it's a built in zoom feature on PJ.com that allows the patrons to view at several times. If you prefer it be seen at a specific magnification, just let us know in your description.
The other thing I noticed is that there seems to be quite a bit of banding. Some areas where there isn't banding look like there is because of how the two colors touching are perfectly perpendicular. Anti-aliasing can help that, but it's not always an easy thing to get into. I can promise that it'll pay off to look into it and try it. 
All of us have room for improvement and that might be a good thing to look up as you progress in your art. There's some good pointers in the forum tutorials on the subject that I think you'd like. Examining other's art also helps. There are lots of good examples around.
I hope some of that was helpful. I really like the way you did the curls in her hair. That's a nice taste of your style, I think. I thought I liked your monochrome preview better than the detail, but I think, like I said, I just like the1x version. I actually really do like your color choices, so just ignore that comment. 
Keep up the great work! I can't wait to see more of your art.
I wanted to reply witty but did not come up with anything. lol