My neighbours music wakes me up every morning.

Invest in some wax ear plugs available on Amazon. I find them a godsend. They block out most noises.

You say you have spoken to her once before and she was rude. You could try a polite note asking her to keep the music down at such an early hour.

I would resists the temptation of speaking to her landlord. Unleas she is guilty of really anti social behaviour (such as parties every night etc) the chances are the LL is not going to want to get involved. The tenant is paying the mortgage whereas you, as a mere neighbour, are not contributing anything to their portfolio.

Years ago when I was renting I had a bad NDN who was constantly whingeing and snitching to LL. LL was already aware that she was a whiner as she had driven the last tenants out. In the end she moved to another part of the city, blocked NDNs number and instructed me never to give the NDN her number or address. I also threatened NDN with legal action if she contacted LL on any matter that was not strictly related to their responsibility as an LL.

Becoming involved between a LL and a tenant is getting into very deep water unless you have massive evidence of anti social behaviour including witnesses, recordings, and others willing to complain.

She may be unaware that you can hear her music. You say it is not loud so I doubt the landlord would intervene, it would only cause animosity between you and the neighbour.

It will probably become a noise that you will sleep through, like birds or traffic noise that the brain ignores after time.