What most stands out as wrong in your question is your use of the words 'fault' and 'faulty'. 'Fault' is a noun, so you cannot say 'Fault sentence'. 'Faulty' is an adjective, but a sentence cannot be faulty. Equipment, for example, can be faulty if it is defective and doesn't work properly. If you are talking about grammar, the adjective you need is 'wrong' or 'incorrect.' But back to your sentences. The first sentence is wrong because there is a mismatch between the subject of the core part of the sentence - 'all things she needed' - and the subject of the dependent clause, 'To get ready'. If you begin the sentence with 'To get ready', the subject of the sentence has to be the person who needed to get ready. The sentence has to be 'To get ready, she...'

The first sentence is not wrong, but the verb is in a passive form. You may have been taught that passive tenses should be used only for formal situations, which is correct. However, it is not a rule of grammar but of style and so does not have to be followed rigidly by advanced speakers.