I asked my co-worker out the other day and I got turned down

. Need some advice on how to proceed. I know it's a long story but I tried to summarize it as much as possible down below. For the purpose of the story I'll call her "Jess".
Cliffs notes:
- We're both Nurses and 26 y.o.
- She started working on my unit a couple of months ago
- I see her once every two weeks or so, as I work Full-time and she only works night shifts (Part-Timer)
- I've yet to actually work a shift with her, but I've had lengthy chats with her during the change of shift/handoff report.... or as I would be finishing my shift and she'd be starting hers
- I'd always get her to laugh in those 15-20 mins, and we'd always engage in some witty-sarcastic banter
- One day, one of my Foreign co-workers offered to grab me some water and asked me "How do you like your water?"... and I responded sarcastically with "IDK...medium rare?". Jess (My Crush) overheard my joke and started laughing.
- The next day, she was giving me report on one of the patients and she cleverly referenced my "Medium Rare water" joke and giggled... I know it's a big no-no to ask a co-worker out in a professional setting but I thought I had a chance after she referenced my joke

- The next time I saw her, I noticed she had a tattoo of which looked like a heartbeat but she told me it was the Harry Potter castle and it was just the form of art... regardless I started teasing her on her tattoo and pulled up a picture of the castle on my phone and compared them

.
- Ten minutes passed, and I was fixated on asking her out. I didn't want to be too upfront so I asked her, "Hey Jess, are the DMs open?"... then she responded with,
"Not, for you" in a sassy voice
...... and I just walked away
- I told 5-7 of my female co-workers (around the same age as me and her) the story and they told me she's usually on the shy and reserved side... and they all advised me to try again.
Should I just take my losses and move on or should I give it another shot?