Will Medicaid take away my insurance if they see I am living with my dad?

I’m currently living in NV. My dad makes a little over 100k a year. I’m 19 and moved in with my dad at 18 to escape my abusive grandparents. Last year, I went on Medicaid to pay for my HRT treatment because I am trans. My dad is against my transition and says he won’t pay for anything, which is alright, I get that this is my choice and I have to be able to support myself with this decision. I’m currently unemployed, but I am applying anywhere I can to find a job. When I was filing for Medicaid, I told them who I was living with, that he was a friend, and that he was helping me “get on my feet.” My dad was there with me when I said this. Currently 6 people live in the house. My grandpa, my dad, his girlfriend, her two kids, and me. My dad has always been very good with money and is very frugal about spending anything. He hates it when food goes too quickly in the house and has resorted to locking up the fridge and cabinets at night. I struggle with an eating disorder which has caused a lot of tension between my dad and I. Most of the time when I eat, I won’t keep it in. I’m picky about what I will and won’t throw up. Something I do keep in when I eat is peanut butter, and honestly is probably the only thing helping me maintain my weight at a healthy bmi range. I have been trying to find a therapist to help me. But the referral my doctor gave me doesn’t take my insurance, the number that place gave me who they said will take my insurance, is out of service, and a different counseling place I found said the wait time is 3-6 weeks. In the meantime, I want to apply for SNAP benefits so at least I’m getting my own food and not wasting the food or my dad’s money. But I’m afraid that if I do apply, they’ll see that I am living with my dad, and take away my insurance and there goes my HRT treatment. Will I get in trouble if I apply for SNAP benefits?