A cute girl is one that has some innocence to her and is pretty in an angelic kind of way. Ummm.......Emma Watson ( the Harry Potter chick).
Hot girl is one that is attractive more like in a sensual way(one that sexually incites you when looking at her,one that you'd wanna bang) and is sexy.A sensual woman is a hot woman.She can be beautiful and hot,but she can not be so beautiful but still hot. Carmen Electra's considered hot generally.(I don't personally think she's beautiful,at all.But she is hot.)
Now,if you'd look at Emma,i don't think your first thought would be to bang her,more like NOT.But you'd go all 'Awwww".If you'd look at Carmen,the first thought might be "Ok,i really need to bang this chick" rather than go "Awwww".And there are such women who're cute,sexy,hot and beautiful like Angelina Jolie.She's cute because she's got some child like face features (sweet),she's sexy because she's got those feline type face features(eyebrows,eyes,the way she looks at you,nose),hot,because she's oozing sex appeal and makes you wanna have sex with her,and beautiful because she's still feminine and still has that classy woman look and attitude to her.I usually associate beautiful with very feminine and soft sort of sensual.She's got it all.Conclusion:Breath-taking,stunning.
Oh,and a beautiful woman is one which has a special kind of beauty,unique,one that you won't find anywhere else and which stands out in a crowd.