Small aircraft pilot reported taking off and another aircraft on short final stating it was dangerous for the reporter to take off and it caused a near miss. The reporter stated there were no alerts of close proximity with other traffic.

Narrative

Departing airport ZZZ; uncontrolled airport; in VFR conditions. I announced I was taxiing to Runway 1R. At the hold-short location; a radio call came in announcing they were on short final; would be making a touch-and-go and making left closed traffic. After they crossed the threshold and my holding position; I announced I'd line up and wait and depart to the northwest. As I lined up and waited; I heard two additional calls. The first announced they were turning base and I visually saw this plane. There was plenty of spacing between me and the plane as they appeared a couple minutes out. I then heard a call from someone saying they were on short final and their voice sounded as if they were mad at me for pulling out. I'm still unsure if this was the same plane; with an instructor pilot making the call; or a separate one. I immediately got scared and decided my best option was to depart as quickly as possible to get out of the way. I could see the plane in front of me taking off and knew it was turning closed left traffic. I couldn't see the traffic behind me. I departed and quickly stepped to the right and departed northeasterly while maintaining visual separation from the plane that did touch-and-go's in front of me. With Garmin 750s on board with active traffic; I was not alerted to be in close proximity with any other traffic. As I departed; the other two planes were talking back and forth about how dangerous the situation was; how it was a near miss; and that they were going to report me. I did not respond as I was focusing on making sure I was clear of all traffic. I'm confident I wasn't within 1000 ft. of any aircraft vertically or horizontally and at an uncontrolled airport.In the future; should I find myself in a similar situation; I would do things differently. Immediately announce I have taken the runway and ask for avoidance until I could taxi up to the nearest exit and come back around to take off when clear. Communicate better upon departure letting them know my intentions - navigate first.