Hi asteorit. I'm still having a bit of trouble understanding you, so I'll try and explain what I believe you are asking. If I'm confused, please feel free to correct me.
I believe you are asking how much deflection the bearings might contribute or add to the deflection of a shaft when a force is exerted perpendicular to the shaft axis as shown in your last drawing. That force you show is 10000 N. The bearing's contribution to the deflection of the shaft will be minimal. I would suggest you neglect the contribution of the bearings to the shaft deflection. If the remainder of your hardware (motor, shaft, etc...) is sufficiently rigid to prevent excessive shaft deflection, the bearings will work fine.
I believe you are also asking if the bearing selected is suitable for the loads given. You show a 10000 N load that is 600 mm from the rear bearing and the bearing in question (crossed roller bearing) 150 mm from the rear bearing. You should be able to sum the moments around the rear bearing and conclude that the crossed roller bearing will have roughly 40000 N of radial load. You also show an axial load of 1960 N. The bearing you provide a link to has a dynamic load rating in the radial direction of 54000 N, so the short answer is no, the bearing is not suitable for this application. It will fail rapidly. In fact, it shows the "maximum permissible radial load against friction lock" is only 21000 N, but even that high a load will cause the bearing to fail rapidly.
Take a look at the SKF bearing life calculations here:
http://www.skf.com/group/products/bearings-units-housings/roller-bearings/principles/selection-of-bearing-size/selecting-bearing-size-using-the-life-equations/basic-rating-life/index.html
That tells you how many times a bearing can rotate before a certain percentage of them will wear out. As a rule of thumb, and this is a sweeping generality, I would suggest looking for a dynamic load rating on your bearing roughly 10 times higher than the load it has to support. Depending on how fast it rotates, how long you need it to last and how sure you are of the actual loads in service, you may not need a bearing with a dynamic load rating 10 times higher than the load being supported, but you should be doing a calculation based on bearing life and actual conditions.
Bearings can be tricky to properly select. You need to take into consideration the interference fit on the shaft and in the bore, how to lubricate it, how fast it rotates, etc... There's a lot to consider. I'd suggest talking to a bearing manufacturer or supplier if you're not familiar with them. If you'd like some suggestions I might be able to show you a way to properly support this using a sketch tomorrow. Let me know if I've understood you correctly though.