Since I don't know about your specific scenario, I don't feel like I can give you a straight answer. However, I can give you a few "if:then" statements or suggest a few questions that you'll want to ask yourself that may help you to find the answers your looking for. Most of these assume that you're asking this question with the intention of trying to come out to your parents (at least at some point), but I want to let you know up front that it's perfectly okay to not come out - especially if you feel that you aren't safe in your family and/or community. Obviously safety isn't the only concern, but some people think they need to come out when it may not be the best time or place. In the end, the only person who can make that decision is you. I wish you the best of luck.
The first few questions are in regard to how you fit into the situation with your parents. Are you living at home? Are you financially dependent upon your parents? If the answer to either of those are "yes", then that makes the decision much more difficult for you as, if they are as homophobic as your question seems to imply, you may end up getting thrown out or cut off financially and you'd be putting yourself in danger if you had no one (and/or nowhere) to go to for help. Even if you aren't dependent on your parents for anything, you will probably want an emotional support system if you decide to come out to them and they react badly. However, if you are dependent, I'd recommend getting your support system in place and finding out who'd be willing to give you a place to stay (or help in other ways you may need) should the worst happen.
The next question has to do with religion. Do you share in your parents' belief system? If you do, they may bring your faith into question if they believe that your religion teaches against homosexuality. However, there are religious organizations out there that are completely devout and would support your being a part of the LGBTQ+ community. If I were you, I'd get a bit of information on one (or more) of those institutions and be prepared to offer those places as sources for your parents to learn more about how being LGBTQ+ isn't incompatible with their/your religion. They may not be open to that, but it's might be something worth being ready for just in case the opportunity presents itself.
Are you out to anybody? One of the most important things, whether or not you decide to come out to your parents, is an affirming support system. Even if there's only a single person that you are close to that can fully support you through this time, you will be all the better for it. You could even use the building of your support as "practice rounds" of coming out before taking on the intimidating task of coming out to your parents (again, don't feel pressured to, but I got the impression that you were interested in being out and were worried about how they would react). If you don't feel like there is anyone in your personal life who would be that kind of support, then the 7cups LGBTQ+/MOGII sub-community is a great place to start!
This is a difficult situation and it's never fun to be in a place where you aren't sure you'll be accepted by people who are close to you. I wish you the best. I don't know if you can respond to my answer if you have any further questions, but you're welcome to try. Or, if anonymity isn't necessary, you can always find me on the LGBTQ+ forums!