SR22 Pilot reported confusion with departure instructions resulted in a low altitude alert with ATC.

Narrative

I filed IFR from ZZZ [Airport] to ZZZ1 (later diverted to ZZZ2). I was given the departure procedure from the tower (no SID at ZZZ [Airport]) and read it back. The procedure includes the following statement 'turn right heading 120; KEEP YOUR RIGHT TURN within 2 NM from the airport'. It later has an instruction to climb to 2100 ft. after intercepting ZZZ VOR R-165. At the time of departure; I interpreted the above instructions as 'turn heading 120 AND THEN KEEP YOUR TURN RIGHT until intercepting R-165; at which point climb to 2100 ft.'. This is exactly what I briefed and then executed upon departure. After I turned to HDG 120; I then KEPT MY RIGHT TURN to the south and was about to intercept ZZZ VOR R-165. At this point; I was handed off to ZZZ Approach. ZZZ indicated 'low terrain alert' and vectored me back east for the initial climb. No terrain warning was activated in my electronic flight system; as I was still far from the terrain.I would like to respectfully point out at the ambiguous verbiage of the departure procedure ('keep your right turn...') which could be extremely confusing to non-local unfamiliar pilots like myself. I called ZZZ Approach after landing and discussed the issue at length with the Departure Specialist there. She kindly explained to me the intended meaning of the departure procedure; but also agreed about the ambiguity; and even suggested that the wording should be changed. I hope this report clarifies my actions and helps improving the departure procedure from ZZZ [Airport].