The exhaust pipe discharge is too close to the house. It should extend 8 to 12 inches from the wall if using tee on vent end. The exhaust might have been placed in its odd position because of a gas regulator vent. I see the pipe exits near the gas service. From a survey of high efficiency furnace installation manuals, and my own experience installing my furnace, the exhaust vent termination must meet the following conditions (although the installation instructions may vary):
- Be at least 6 inches from operational window openings
- Be at least 3 feet horizontally from service regulator vents, extending 15 feet vertically (Applies to Canada, not US.)
- Extend 8 to 12 inches from walls if using tee vent. (This doesn't seem to apply if venting perpendicular to wall).
- Be at least 3 inches in the horizontal and 12 inches in the vertical from the intake pipe
- Be at least 12 inches off the ground or anticipated snow level (if applicable , definitely applies in Canada).
The tee at the end is optional unless your instruction manual says otherwise.
Although there is a limit on the number of 90 degree turns you're allowed to put in the vent, in your case, I'd cut off the tee and put an elbow that directs outward from the wall.
You must make sure that you maintain the slope so that the condensate drains back to the furnace.