May I suggest that you not rely on specifics as the time of day or expectations of an answer on the 5th day, nor even less on the reception of a rose as proof of being heard. I am a secular carmelite, very devoted to St. Therese and other carmelite saints. This could truly be superstition to follow someone’s assurances because they happened to work for them in exactly that manner. That’s how these leaflets get circulated, but they are not sure-fire guarantees simply because they are performed to the letter on the advice of someone else’s experience.
I have never heard of this type of novena, not even in Carmel. Best would be to simply engage in earnest prayer with your own composition of prayers and/or words spoken very simply to St. Therese, perhaps accompanied with Mass and Holy Communion. She is a very simple saint known for her Little Way, and does not need flamboyant ceremonial exercises in order to hear the prayer of your heart.
You may find this excerpt from New Advent helpful.
Catholics know from their own experience that the novena is no pagan, superstitious custom, but one of the best means to obtain signal heavenly graces through the intercession of Our Lady and all the saints. The novena of prayer is thus a kind of prayer which includes in it, so to speak, as a pledge of being heard, confidence and perseverance, two most important qualities of efficacious prayer. Even if the employment of the number nine in Christianity were connected with a similar use in paganism, the use would still in no way be blameable or at all superstitious. Not, of course, that every single variation or addition made in whatever private novena must be justified or defended. The holiest custom can be abused, but the use of the number nine can not only be justified but even interpreted in the best sense.