The answer is option B
Ifemelu, the female protagonist in Nigerian novel Americanah, questions
if she can truly build a life for herself in the United States and feeling a sense of connection and belonging to a place so far removed from her native country Nigeria.
A. if she can truly build a life for herself in the United States and feeling
B. whether she can truly build a life for herself in the United States and feel
C. whether or not she has the capacity to build a life for herself in the United States and can feel
D. her ability for truly building a life for herself in the United States and feeling
E. the capability for her to truly build a life for herself in the United States and feel
Just by reading this, we can sense that the word 'if' really makes it a bit annoying. Since the sentence is relayed in 3rd person form, the statement (spoken or unspoken form) must be in the form of a statement or an answer and not a question which we get a sense when the underlined part starts with if.
So rule out option A.
You can easily rule out all other options except for B just simply because the sentence is not talking about her capacity, ability or capability. It will be like adding a new dimension to the statement which we really do not want.