A large part of the problem is how you are viewing the bed issue.
You’re seeing it as a war for territory with the bed as the prize. Even tho cats are territorial by nature (much more so than dogs) I guarantee that’s not how your kitten sees this particular issue at this point in her life.
Remember, she is a kitten and you are now “Mommy” to her. That’s how our cats basically see us; as part of their family.
So it’s the most natural thing in the world for her to want to sleep with Mommy. There would be something abnormal if she (as a kitten) did NOT want to sleep with you.
When she is full grown, she might develop a preference for the top of the cat tower but she is still a baby and I’m sure it would be confusing to her and make her sad that she couldn’t sleep with her Mommy.
It has nothing to do with dominance issues. She wants to be with you. Period.
Why on earth did you get a kitten instead of a full grown cat if you weren’t prepared to be a Mommy to it ?
I suppose if you persist with a squirt bottle and give her a face full of water (and a ton of rejection) everytime she tries to get in bed to sleep with you that you can “cure her” of this desire if that’s what you really want. But both you and your kitten will be the worse for it.
She will feel sad and rejected and not know why her “Mommy” is treating her this way. And as she continues growing up you will have a meticulously clean bed and an empty heart from realizing that you passed up a primary bonding opportunity with her.
And you’ll be lucky if she wants to be around you at all. If I were her, I wouldn’t continue to expend the energy if all I face is rejection.
If you wanted a pet that would slavishly adore you in spite of rejection, why not get a dog. Or if that’s too high maintenance perhaps someone elses suggestion of a goldfish would be more appropriate.
I really feel sorry for both you and her.