Dativ

I am totally confused - Ich brauche Hilfe!

I think I understand and can find the DATIV in the following sentence:

Paul (subject) gibt (action) der Frau (dativ or in english the indirect object) das Ticket (acccusitiv or direct object in english)

I do not understand :
Der Frau (DATIV) gefällt das Hotel. Why is it ''Der Frau"?
I applied: What does the woman like? My answer: the hotel. Is the hotel the subject?

I do understand (at least I think I do):

Mira (subject) gefällt (action) der Film(indirect object/DATIV)

I understand the concept in:
Die Frau (subject) gibt (action) dem Mann (indirect object/DATIV) einen Kuss (direct object/Acc)

This concept is driving me MAD! Any help will be greatly appreciated.

"Why not say in German
Das Hotel gefällt der Frau."

Hm...I've actually always said it that way as well (Das Hotel gefällt mir). I think, however, it's more of emphasis on the specific noun when one says "Der Frau gefällt das Hotel". Instead of making it the -hotel- that pleases the woman, you're shifting emphasis that the hotel is pleasing the -woman-. Another example is to think of "Den Hund liebt der Junge." The boy loves the dog, but "the dog" is at the beginning of the sentence. Why? Because the speaker wants you to know that it is specifically -the dog- that the boy loves. Same with "Mir gefällt das Hotel"-I want them to know that it the hotel is pleasing to -me-.

So in conclusion, "Das Hotel gefällt der Frau" and "Der Frau gefällt das Hotel" are pretty much the same thing, it's just which word you wish to place emphasis on. Anyway, this is just my thinking when it comes to this-if anyone else has another opinion, feel free to share it as well!