Entregarme means "to give myself" or "to surrender myself." It's a deeply personal and vulnerable word, especially in the context of a romantic relationship.
In this song, Christina Aguilera sings about the process of opening up and trusting someone enough to fully commit. She expresses gratitude to her partner for being patient and persistent, allowing her the time to entregarme a ti (give myself to you), highlighting the journey from hesitation to complete trust and love.
Most love songs thank someone for what they did. This one thanks a man for what he did not do. The first verse is a list of restraint: "Por no ser impaciente y serme fiel" (For not being impatient and for being faithful to me), "Me atrevo a ver pero sin tocar" (I dare to look but not to touch), and the blunt line that explains why she made him wait in the first place, "Yo quiero más que una noche loca" (I want more than one wild night).
The chorus then switches to the third person, which is an odd move in the middle of something this personal: "Una mujer, quiere sentir / Que es bien amada y no la harán sufrir" (A woman wants to feel that she is truly loved and no one will make her suffer). It reads like advice being handed to him, and to whoever else is listening. By the bridge the distance is gone and she asks outright, "Hazme soñar, hazme sentir" (Make me dream, make me feel). "Una mujer se gana con amor a plenitud" (A woman is won with love in full) is the whole argument in one line, and it is phrased as an instruction rather than a compliment.