I don't think you need to have had suicidal urges in order to be dx'd Bipolar. Bipolar however is characterised by drastic mood changes; maybe your pdoc doesn't feel your depression has been severe enough, and with only having had hypomania, you may not meet all requirements as per the DSM.

I'm not sure why the label of bipolar is so important. For me, I just want to tell my pdoc about the symptoms and get meds prescribed to help with these symptoms