A realistic time to first shot (and hitting the appropriate target area such as the "-0" zone on an IDPA target, drawn from concealment, hands at side or in surrender position, cold draw, is about 1.9-2.2 seconds. That, of course, is knowing that you are about to draw and knowing you will fire.
A good time would be 1.7-1.9 seconds.
Anything below 1.7 is very good.
Note that these are cold draws for normal people, drawing from concealment with their normal carry rigs, gear, and ammo. The drill we used to do for our group was to show up at the range and do nothing more than put on muffs and eye protection, step to the line, wait for the tone, shoot the drill. There was none of these business about retucking shirts, adjusting concealment garments (vests, sportscoats, sweatshirts, etc.), no adjusting holsters, no getting a sight picture before getting to draw - nothing. If you drew a handful of shirt, then you shot the drill accordingly. There were no do-overs. We would then record the times for each week. BTW, we were shooting Mozambique drills at 7 yards as our standard test.
Simply put, most people suck worse than they think when they have to do a cold drill like this and it is a cold drill that is going to most closely approximate what you might be able to do in real life. Few people get a chance to warm up and get all settled with their gear before a fight. So the idea was that it was just normal day. We get out of our cars and go into a business when we get threatened and have to respond. It wasn't truly real life, but it was a good way to start the shooting session with a solid 'cold' evaluation.
We found that folks had trouble hitting all three shots in the appropriate zones in less than 2.5 seconds. Usually it was 2 out of 3. Even at greater than 2.5 seconds, folks didn't do a whole lot better.
Many of us learned a lot of our daily wear wasn't conducive to a quick response. I ended up learning a lot about drawing through a handful of shirt, having vests wrap-up my hand during a sweep, and which holster positions were really best for my normal activities.
Of course, the difference between the cold draw and then repeating the drill after we had all warmed up was like night and day. We had folks that would accomplish the same drill in less than 2.0 seconds, hitting properly, when they only were able to accomplish 2 out of 3 hits in 2.5 seconds or more. In fact, if the drill was repeated just twice more after the initial cold shoot, we found that people's times and scoring improved a good bit. In other words, you can actually warm up very quickly such that you will see immediate improvement...which is good to know if you are in a prolonged gunfight, but being warmed up isn't a great indicator of how you will start.
The moral of the story is to not judge your great skill based on your warmed up time and scoring, but on what you can do cold. As this is a defensive practice for you, your abilities when you are shooting cold is what you are going to be using in real life and you really should have a realistic idea of those cold abilities. Over time, your cold skills will improve, but it may not be a quick process, so don't be surprised by slow progress or that you may plateau a bit.