she says she is frightened in her room alone as she can hear noises.
So first of all, believe her.
If you were afraid in the night and could hear noises that scared you, what could you do to help yourself?
A light on would be my first suggestion. A night light might not be bright enough and to take this you want to go with things feeling as "safe" as possible, so that may mean plenty of light.
Consider a lamp left on all night. Or get a dinner summer switch and leave the overhead light on, dimmed down, all night.
Landing and bathroom light left on all night. So if she does get up, it's not scarey and maybe she'd be ok going back to bed.
Ask her if door open or door closed feels safer. Go with her choice, all night.
Then hearing scary noises. These might just be general house noises, but she's scared by then. So she needs background noise to block out the scary sounds.
Bedside fan is a great sound-blocked. Poibt Point it away from her in winter. The radio on low. White noise. Relaxing CD music playing on repeat all night. Whatever she chooses needs to be on loud enough to not hear other noises.
You could also consider ear plugs, but she may not like the feel and not being able to hear may scare her more.
When you've done all of this - ask what else she needs? Would a cheap baby monitor help so you can hear her / she can hear you at all times? What about changing the curtains? Some curtains and blinds throw odd shaped shadows around at night.
It's about doing everything she needs to feel safe and not scared in her room, so that she had no reason to need to come into your room. So she doesn't feel scared any more.