Aviation auto-pilot will most definitely fly you into things.
Systems exist which will override auto-pilot in the event of such happenings, like Auto-GCAS (ground collision avoidance systems) and equivalents, but these aren't really designed for sudden obstructions -- they are mostly designed to help regain level flight if a pilot becomes unresponsive during maneuvers and is pointed in A Bad Way -- but auto-pilot is not going to be engaged during such flight, anyway. But systems like this do have authority to disengage whatever other systems that may interfere with their operation, like auto-pilot.
There are many onboard systems to allow awareness of such conditions that will result in collision, but not much in control of actual flight characteristics on any but the most advanced or experimental planes.
Systems exist which will override auto-pilot in the event of such happenings, like Auto-GCAS (ground collision avoidance systems) and equivalents, but these aren't really designed for sudden obstructions -- they are mostly designed to help regain level flight if a pilot becomes unresponsive during maneuvers and is pointed in A Bad Way -- but auto-pilot is not going to be engaged during such flight, anyway. But systems like this do have authority to disengage whatever other systems that may interfere with their operation, like auto-pilot.
There are many onboard systems to allow awareness of such conditions that will result in collision, but not much in control of actual flight characteristics on any but the most advanced or experimental planes.