I(23M) think I wanna get serious with my cousin(21F) and hope to get married too.

So first off, before anybody starts biting my head off by frowning upon the cousin thing, here's how she's related to me. She's my paternal grandmother's brother's daughter's daughter. I got diff genes cuz grandma and dad both married someone outside the family. She's got diff genes cuz daughter also married someone outside the family. So not like we're first cousins or something. Only our great grandfathers were same. For me from my dad's mom's side and for her from her mom's dad's side. Now I met her at a family wedding, before that we had just been like cousins. Random meetings at family functions(I rarely attend those). This time it was her elder sister's wedding and I was helping her out cuz of all the relatives I was the one who she trusted the most(especially on such an impt day). Something sparked between us and by the end of the wedding we were both giving signs to each other being totally ignorant of them😂. A few days later we got to talking and we talked about our personal lives, relationships and what not. I realised she was totally the kind of girl I was looking for, and she realised I was exactly the kind of man she'd read in books(Someone who'd massage her feet at the end of a tiring day but would also make her toes curl later in the night). I'm working and she's still in med school. But her dad's health is kinda going down so her mom apparently told her that now that her elder sis has got married, they're not gonna wait that long for her to get married. Sure they won't get her married while she's still studying but her mom did say she's looking to atleast fix something up. So that as soon as she starts working after her studies, she can get married before her dad drops(he's living on half a kidney and got a colon cancer removal last year. So yeah, pretty weak). Now we've kinda been dating for a few months, just flirting, being there for each other, phone calls, texts, just to see if it was just infatuation and shared relationship trauma. Didn't cross any boundaries, neither physical nor virtual. We're still at hugs and handshakes. Although the next time we hug will be totally different. Cuz we both realised it's not just infatuation. We really do make a great match. I've seen her adjust at times when I have busy days, she's a med student so I do it too, and we both willingly do it. Nothing forced. So my question before committing to her is getting opinions. One hurdle that's stopping us is the family thing. Will they accept it or not. Cuz not like it hasn't happened before, it has with my aunt and her second cousin. And multiple other instances too, just not in both of our personal families. Also another question is from a moral standpoint. This feels so wrong but she feels so right. Is this even right to do? We can back out now cuz not like we're deep into anything. We made sure we'll confirm it ourselves first and only then think of crossing boundaries.