Why do you care if others try to discredit your religion?
Do you feel you need to defend your religion to those who would discredit it?
Since I don't have a religious belief (atheism not being such) I'm not sure how I might feel. It probably wouldn't bother me, just as having any particular view or belief is much the same - and disagreements or attacks on such is mostly expected of others, given that we all are different, have different abilities, knowledge, experiences, and even motivations. I'll leave the defending to all those who do have a different religious belief from the many others, and where they still think theirs is the correct one.
Does it matter to you what others think about your worldview or beliefs?
Said it above - not really - and even if I might have a minority view, I do know that many or even most will not have done the work necessary to form a valid opinion/belief, even if I too could have done a lot more and better. Studying one particular religious text seems to me more a form of indoctrination, especially when one doesn't even look at the criticisms or acknowledge any anomalies or other such.
Does it weaken or negate your worldview or beliefs or help to reaffirm them? How so?
What others think to weaken my beliefs? Couldn't care less basically, unless they can come up with evidence or arguments that would inform me - and religious texts from the past are not such, for me at least.