Firstly, rabbits are not cuddly animals and that isn’t something you can train them to be (being a house rabbit doesn’t = being cuddly)

Secondly, if you have wires around, you need to block access for her safety. You don’t just restrain her (how did you restrain her btw?)

She’s probably scared of you because you’re forcing cuddles on her and restraining her. So, stop that (and give her time to realise you’re not going to do that anymore)

I agree, but also you shouldn’t spay her until she’s 6 months that way her organs are fully developed and she’ll do much better under anesthesia. If you need to transport her somewhere do it in her carrier or her litter box so you don’t have to handle her.

Also, were these full on bites or just nips? Bunnies rarely bite bite (they tend to draw blood when they bite) except in a fighting situation. A lot of it is probably her hormones kicking in, as she is as that age. Bunnies who enjoyed things like cuddles and being off the ground start getting agitated by it. Females in particular are known for being aggressive and territorial when they hit their bunny hormones. 

Rabbits will nip when somethings in their way and annoying them like perhaps your leg, but tend to bite if they are scared or hormonal, the best thing to do to stop her biting to make sure she trusts you, youll want to stop picking her up completely, you should never pick rabbits up, it’s likely why she is biting you because she doesn’t enjoy it, is there not a way she can get into her cage herself? My rabbits have trained themselves to use the stairs to get up and down the house, they can’t stand it when I pick them up and have even started shaking in the past when I used to think it was okay to handle a rabbit. All hope is not lost though, all you need to do it find ways for her to get to places herself, rabbits are very smart and with supervision, patience and encouragement she will figure it out. In the mean time you want to gain her trust again usually it’s best to get the their level, let them come to you and then stroke them while they are on the ground. Teeth clicking is a sign they are happy but let her learn to come to you, both my buns will jump on the sofa and off the sofa at their own will, but I’m not lucky enough for them to enjoy sitting on my lap they just like to say hi and then leave again! So perhaps training her to jump up. Is a better option.

Bunnies do like to explore and will just keep going back to a place they want to check out until they’ve had a good sniff, so perhaps block off the wires when she’s out even if its a make shift barrier like putting a box in the way It will likely work better and keep her faith in you.

Hopefully she comes around soon, it’s not always easy learning a new bunny but with a little patience and persistence you two will be the best of buds I’m sure

Oh sorry also I’m sure she isn’t scared of you, but she’s probably scared of being picked up, perhaps why she’s likes to cuddle but bites when you try to handle her

If something is in her way she would lightly nip. Biting is most likely because she’s hormonal.