Surpized nobody has responded by now. I was going to last friday but I had a fire drill come up.
I drew a picture to help me explain.
The highlighted area is the portion of the roof which has its loads transferred directly to the wall portion you are removing. This is assuming you have a symmetrical roof. Either flat or you have the peak along the center.
To calculate the snow load you have to multiply the shaded area by the snow load. So that would be 10*10*55 = 5500 lbs. This load is evenly distributed along the beam supporting the opening. Therefore it would need to be converted to a distributed load 5500#/10'= 550 lb-ft.
Next you need to calculate the moment associated with the load. Since we are dealing with a distributed load the equation for the max moment is (wl^2)/8. w is the distributed load and l is the span. (550*(10^2))/8 = 6875 Ft-lb.
The last number is what you will use to size the beam. I don't work with wood structures so I will size it for steel. Since its steel I am not going to bother with a shear calculation. If it were wood I would do the shear check.
Next, with the moment and span length I can use table 3-6 in the AISC manual (13th ed) to select a beam. I would select a wide flange because they are easier to work with. I'm looking at page 3-77. On the left hand side of the chart is the design span. The top of the columns show the beam selection. The chart shows available moment capacity for each beam and the moment capacity depending on the span. The smallest beam avalable is a W8x10. This should be sufficient. For a span of 10' this beam has a capacity of 17.5 kip-ft (ASD). Which is more than is required. The beam is considered non-compact but this should not be a problem since the loads are not big. This means that the mode of failure will more likely be some type of localized buckling if you were to max out the beam.
There are other beams available that are shallower. The w8x10 is 7 7/8" deep. You could use a W6 shape but the beam is not shown in the beam selection charts. This would mean that you would have to calculate the beam's moment capacity by hand.
Couple things to note. You can reduce the snow load depending on the pitch of the roof. That snow load is huge. The beam also needs to carry the dead load of the roof and any live loads on top of the snow load. I don't think it would be a problem since the beams capacity is more than twice what you need.