I'm viewing this vote through two lenses. What Ling Qi is attempting to accomplish and her ability/tools to deliver on it.
[] Leave the subject alone, there is no point in making things awkward. Try to continue as before.
Here, Ling Qi is taking a conservative approach to the issue. She's trying to preserve the status quo, though will obviously be proceeding with a heightened awareness of the matter. It is just "try" though, which doesn't imply a hyper-vigilante dedication to keeping the situation static, but there isn't a clear endgoal if the situation develops further etiher.
The limit on Ling Qi's ability to actually keep things the same is basically how reliably she can keep a poker face when interacting with Xuan Shi with the added awkwardness. Historically, she's kind of iffy here, like the issues with Meizhen or initial meetings with Gu Tai and Bao Qian. It's when Ling Qi understood their intentions better that she was able to put the romance angle to the side and engage properly.
[] Find a way to broach the subject, and figure out what he wants. You don't want him to misinterpret things.
This is a more inquisitive path, with Ling Qi trying to delve into Xuan Shi's intentions, then making sure that her own intentions aren't unclear. It's an inherently open-ended result because it depends a lot on what Xuan Shi's intentions really are in practice when he's pressed on the matter. What's he actually looking for, if anything? That's the question this choice seeks to answer.
Tool-wise, this choice relies on Ling Qi's ability to stay somewhat composed and not fly off the handle or reflexively accept Xuan Shi's awkward deflections as definitive, when confronted with a topic that she's deeply uncomfortable with. Historically, she's kind of iffy here, like the issues with Meizhen or initial meetings with Gu Tai and Bao Qian. It's only with other parties being patient with her (or mutual investment/desperation for friends in Meizhen's odd case) initial strangeness that things were able to proceed somewhat smoothly. If Ling Qi's too skittish and Xuan Shi's too shy, things could implode in an number of ways.
[X] Find a way to broach the subject, and figure out what he wants. You don't want him to misinterpret things.
I'm actually fine with either option, partly because both seem highly amusing. However, this is the more proactive approach of the two, which neatly embodies Ling Qi's strongly Yang tendencies and themes.