Is the word doutora the same in Brazilian and European Portuguese?

No

The difference between the two lies in typical usage. In Brazilian Portuguese, "doutora" is frequently used as a broad social honorific to address various professionals, such as lawyers, dentists, or even as a polite way to address women in service-oriented interactions. In Continental Portuguese (Portugal), the use of "doutora" is much more strictly and specifically reserved for women who actually hold a medical degree or a doctoral degree (PhD). Therefore, while a Brazilian might use "doutora" to address a lawyer, a Portuguese person would more naturally refer to that same person by their specific profession, such as advogada.

Brazilian Portuguese

1. A doutora já vai te atender. (The doctor will see you shortly.)
2. Bom dia, doutora, como a senhora está? (Good morning, doctor, how are you?)
3. A doutora explicou o processo para mim. (The lawyer/doctor explained the legal process to me.)
4. Eu tenho uma consulta com a doutora hoje. (I have an appointment with the doctor today.)
5. Ela é uma doutora muito respeitada na área. (She is a very respected doctor/PhD in the field.)

European Portuguese

1. A médica já o vai atender. (The doctor will see you shortly.)
2. Bom dia, senhora doutora, como está? (Good morning, madam doctor, how are you?)
3. A advogada explicou-me o processo. (The lawyer explained the legal process to me.)
4. Tenho uma consulta com a médica hoje. (I have an appointment with the doctor today.)
5. Ela é uma professora muito respeitada na área. (She is a very respected professor in the field.)