my relationship with my parents was always strong untill the point when I felt ashamed and scared to tell them.
Chica,
You said that your relationship with your parents was "always strong." We don't say that about relationships that don't have solidarity to them. Focus on THOSE qualities that made you perceive your relationship with your parents as "strong." What made it strong? Was it the mutual trust? Was is mutual support? Was it ease of communication? Instilling of self-respect and confidence? Reflecting over the qualities that made your bond with your parents a strong one might help you get back on track.
Secondly, reflect over why you feel ashamed and scared to tell them. When we believe a relationship to be strong.......then ideally there shouldn't be fear. SO.......was there something that your parents did or said that made you think that they won't understand you? Or is this just your own assumption. MANY OF US........if not ALL OF US...........have assumed that our parents/siblings will react negatively...........only to be surprised at the strength and understanding that our families can show us.
You know your family better than I do. So you have to examine whether your assumptions about your parents' failure to understand are stemming from your own perceptions and fears................or whether your parents have actually shown you that they are not open to communication. If this is stemming from YOUR own perceptions....................then how will you ever find out your parents' views on this issue if you don't talk to them, right?
If you're absolutely certain that your parents won't understand.......how about a sister? Or friend? Therapist?