Well,she keeps trying to bite me.Is that a sign of happiness?
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It's not an indication of unhappiness. Sounds like it's a good time to learn a bit about snakes. With most species of pythons (you haven't told us what species or what age she is) most of them will bite you as hatchlings. That doesn't mean all of them come into the world unhappy. Pick up a wild python of any age and handle it carelessly and it will probably bite you. That doesn't mean they are all unhappy. Walk into a room full of happy pythons and throw a rat in their cage and they'll all ferociously bite the rats. I bet you wouldn't walk up to a Death Adder, Tiger Snake or Taipan and pick it up, right? And that's not because you fear it is unhappy. I could tell you an Eastern Brown is perfectly content and even if you 100% believe me I'm sure you wouldn't go and pick it up, and with your level of experience and skill neither should you.
Snakes are not social animals and they are not domesticated. Dogs will instinctively seek out human contact and be affectionate towards humans and other animals, snakes won't. Handling a snake is more like handling a fish than playing with a dog. Dogs need socialisation and love it to come from humans, snakes don't even benefit from it.
To determine if your snake is happy can be difficult for a beginner. The first and easiest sign to look for is that it feeds enthusiastically. Enthusiastic feeding is a good indication the snake us either happy or starving; when there is a problem snakes usually won't eat, but sometimes if they are extremely hungry they'll eat anyway. The next is a health check. A behavioural check for happiness requires a fair bit of experience because a happy, healthy snake will often just sit coiled up under a rock or in a burrow or in a hide box almost all the time (species differ so it's impossible to comment on yours), and an unhappy snake will often do much the same. Other species have all sorts of variations on behaviour which mostly don't relate to how well things are going, so it's difficult to describe in a short message. There are obvious examples like a snake constantly trying to get away from the heat and not eating (this snake would be heat stressed), but generally it's not so obvious.
Picking up a snake with poor handling skills and shaking hands will get plenty of very happy snakes to bite you, including quite a few snakes which usually handle well and don't bite.
First priority is to make sure your snake is happy (it probably already is, and you can give us relevant information to ascertain that if you like). Once we know she's happy you can start handling if you wish. It seems like handling your snake is important to you which is fine, and you have a fear of snakes and limited understanding of how to handle a snake which is a bad combination with a desire to do it. An important thing for you to learn is that if a snake bites you, never tear it off your body. This will hurt you more, hurt the snake more, and in some cases cause serious injury to you and/or the snake.
The good news is that if the snake bit you and tried to hold on it was probably a feeding bite, and a snake will generally only give a human a feeding bite if it feels safe and strong and content (happy). When they give a fear bite they will generally not hang on, they will just give a quick snap, let go and either attempt to flee or sit in a threatening pose ready to bite again, hoping that you will want to flee.
Almost all snake keepers I know have been bitten, including most of the ones who work with deadly snakes and including the most skilled handlers I know. Getting bitten once in a while is almost a guarantee with snakes and if you want to enjoy freehandling snakes it's something you need to accept as a reality and lose your fear of, which will mean less bites. Snakes can't literally smell fear, but there is some truth to the story that they can detect it. A trembling hand indicates fear. Fear is an indication that you anticipate some sort of negative interaction is likely. If you fear a snake and are approaching it, the snake will be likely to fear you. Being calm and confident is important for both of you.
If you want to give more relevant information and ask specific questions we may be able to help.