As mentioned you are asking about depth-of-field (DoF).
No the DoF is not to shallow. I agree the bar behind her head isn't helping. The light source is to high for my taste, and for me she is to close to the left edge of the image frame making the image feel unbalanced.
In your profile, it would help if you chose an edit preference -
My Photos Are OK to Edit or
My Photos Are NOT OK to Edit.
The bar can be edited out of the image.
Bokeh is not adjustable, and is an inherent property determined by lens construction.
While many use the terms DoF and bokeh interchangeably, they are not the same thing.
Bokeh is judged in degrees of smoothness, or creaminess. Smooth and creamy bokeh is preferable to donut shaped, or jaring and jitterey, bokeh.
The only way you can change bokeh is by using a different make/model of lens, while DoF is adjusted by controlling lens focal length, point of focus distance, lens aperture, subject distance, and background distance.
Some lenses deliver notoriously ugly bokeh - catadioptric mirror lenses (donut shaped boken), and inexpensive prime lenses that have a minimum number of aperture blades (jaring and jitterey, bokeh).
Lenses with only 5 straight, sharp edged aperture blades usually produce less pleasing bokeh than lenses that have 9 curved, round edged aperture blades. The more aperture blades a lens has, the closer to round the lens aperture can be.
As a general rule, lenses having more aperture blades cost more.
Setting up the camera and lens so there is a shallow DoF helps to separate a subject from a background. The technique is known as 'selective focus'.
Using selective focus in photography - Bing
Understanding Depth of Field in Photography