A lot of snakes are "cage aggressive". If someone pulled you out of your house would you not be a little upset?!
What I do with all of my bigger animals is rub them (not tap) on the back half of their body to let them know I'm there. I then use the hook to gently pull the lower half of their body towards the tub opening and then I gently grab them and pull them out. Once they're out of the tub they calm right down and allow me to have my fun and handle them.
As far as being skittish because of the bite...get over it lol. I don't mean that in a bad way whatsoever! I just mean as a reptile owner it's bound to happen and it will definitely happen again. These animals pick up on our nervousness and react to it, which in turn makes you more nervous. It can turn into a really bad situation for everyone involved.
I was the same way for a bit, super nervous and jumpy when I handled my 6' bredli because she had tagged me once and because I was skittish when handling her she definitely acted different. I spoke to a good friend about it and he said the same thing I'm saying to you, get over it. You have to go into it with confidence and you'll certainly notice a difference in their behavior when you are confident in yourself. Sure I still worry about a bite but now I'm more aware of the animals behavior and know how to read them and in retrospect all the bites I've gotten (and there's a lot) weren't bad. Hell I'm more nervous around dogs and cats because their bites are way worse!
Try to gain confidence while handling and learn how to read your animals behavior. Be conscious of the fact that a bite can happen but don't let it overtake you. You got this.