Please note that your research question may be best answered by qualitative research. However, since most mainstream psychologists are still biased against qualitative research, especially the phenomenological variety, you may need to justify your qualitative method.
Furthermore, since there are no well-established and widely accepted canons in qualitative analysis, your method section needs to be more elaborate than what is required for traditional quantitative research. More importantly, the data collection process in qualitative research has a far greater impact on the results as compared to quantitative research. That is another reason for greater care in describing how you will collect and analyze your data. (How to write the Method section for qualitative research is a topic for another paper.)
For quantitative studies, the method section typically consists of the following sections:
Design -Is it a questionnaire study or a laboratory experiment? What kind of design do you choose?
Subjects or participants - Who will take part in your study ? What kind of sampling procedure do you use?
Instruments - What kind of measuring instruments or questionnaires do you use? Why do you choose them? Are they valid and reliable?
Procedure - How do you plan to carry out your study? What activities are involved? How long does it take?
Results:
Obviously you do not have results at the proposal stage. However, you need to have some idea about what kind of data you will be collecting, and what statistical procedures will be used in order to answer your research question or test you hypothesis.
Discussion:
Common Mistakes in Proposal Writing
Failure to provide the proper context to frame the research question.
Failure to delimit the boundary conditions for your research.