Observe these statements:
Carlos holds a bachelor's degree in law.
The newest bachelor's degree in Psychology has arrived
Paying attention to such nouns, they remind us of the same idea contained in the nouns related to the president and president, right? But, we will talk about your particularities so that this impasse can be clarified in the best possible way.
Renowned grammarians such as Luís Antônio Sacconi and Domingos Paschoal Cegalla admit that the bachelor's form is perfectly accepted. But can this also be considered a common noun of two, similar to president? Thus, in the case of an affirmative answer, we could say:
The newest bachelor in Psychology has arrived.
However, as strange as it may seem, especially with regard to sonorous terms (bacharela), it is correct to opt for such a form.
This assertion becomes even more reinforced when we consult the VOLP (Orthographic Vocabulary of the Portuguese Language) and find that the noun bachelor has its feminine form.
Therefore, when using it, choose the correct way, regarding the second option:
The newest bachelor's degree in Psychology has arrived.
By Vânia Duarte
Graduated in Letters
Source: Brazil School - https://brasilescola.uol.com.br/gramatica/bacharel-ou-bacharela.htm