You've heard of the "mad minute"? Rate of fire (when user properly trained) is so fast that Germans mistook it for machine guns.
I own a couple (No. 4 and a Mk III as well as an actual No. 5 "jungle carbine" (not the Indian imitation).) I'm not as well trained as they were, but with the rear locking lugs and a VERY slick bolt it will cycle amazingly fast.
1. The Enfield bolt cocks on closing, which makes rapid fire unhandy, to say the least. I too own a No. I Mk 3, and a genuine Jungle Carbine and they are not fast, even compared to other bolt-action rifles.
2. And most importantly, our luckless future Star Fleet Chief Engineer would have fallen straight down and out of the way of the other shots on the first hit by a .303. There is no flingin' way any human being would stay standing after one hit. Whatever hit him was full-auto and pistol caliber, to get five rounds into him before he collapsed.
I should know a bit about these things, since I spent about 17 months shooting and hitting other people and then getting hit myself.