Flirting okay in AM?

Hi, so I(m30) have been talking to someone for sometime now. She(f29) is quite reserved and accomplished. She texts me once a day mostly in the mornings replying to all my messages once and for all. I never had the balls to ask her why she is mostly unavailable. We have many similar likings or interests, but she is too intelligent and pretty at the same time. We have been talking since over a month but only on weekends and the calls last for 30 mins and not a minute over that. She can sometimes be outgoing as well (goes out a few times). Sometimes sends me pictures of food or coffee or whatever she’s made for the day, Only a few times tho. Given the common interests we have I feel she is open minded, sensitive, but also conservative at the same time.

I want to flirt respectfully with the woman I want to marry, and it’s my love language I feel. I am also scared to do it with this girl because families are involved and I also don’t want to ruin my chances. In general, is flirting okay in the AM setup and based on the above description do you guys think I can flirt with this woman?