Baron 58/58TC
Flight Crew Instrument; Flight Crew Private; Flight Crew Multiengine
Flight Crew Last 90 Days 15; Flight Crew Total 2000; Flight Crew Type 480
Situational Awareness
Deviation - Altitude Excursion From Assigned Altitude; Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance; Inflight Event / Encounter CFTT / CFIT; Inflight Event / Encounter Weather / Turbulence
Air Traffic Control Issued Advisory / Alert; Flight Crew Returned To Clearance
Human Factors; Weather
Shooting IFR approach into Georgetown. We had high crosswinds which pushed the plane off course on final and while initiating corrections using the autopilot; the altitude was disengaged and allowed the airplane to descend below the glide slope path. Controller warned of deviation off course of 1 mile and a low altitude alert. I informed him that the plane was working back to the course line and that we were going to just hold altitude. The thinking was that we would hold altitude until we flew back into the glide slope path. As we came closer to the airport we could see the ground through the cloud breaks and we dropped just below the cloud layer and continued the approach.
BE58 pilot reported a track and altitude deviation on approach to GTU that resulted in a low altitude alert from ATC.