... after hard landing check?
Ronnie, you may find that once you start practicing power off landings, your judgement for the flare improves. Having the power to strech the flare is nice to get used to things, but you'll have to manage without the power at some point.
As long as you prevent the nosewheel striking, flaring a little too low is probably less dangerous that flaring too high. Aside from adding a bunch of power, once the flare begins, you are using up stored energy in the inertia of the aircraft. Once that energy has mostly gone, you're close to the stall, and settling. Because you're close to the stall, you can't arrest the settleing by raising the nose more, and you're gonna hit.
With your instructor's concurrance, and a longer than normal runway, you can fly closer to the runway, a little fast. As you begin your falre from there, it is much more a horizontal maneuver, rather than a partly vertical one. Don't let the noasewheel touch though!
After thousands of hours, pilots still will get scary landings. All kinds of factors, (which your instructor will mostly be preventing right now), will begin to affect certain landings, and make them memorable. Look forward to those few, where you're on, but you could not feel it at all. In 6000 hours I've had a dozen or so of them, where I actually rolled the ailerons a little to confirm that I was on, 'cuase I had not felt it at all! Landing in an inch of loose snow on a smooth runway can imporve this affect!
Welcome to aviation, you'll never stop learning!