An interesting first chapter!
I think the very first thing I want to touch upon is embarrassment. Author, you definitely nailed Woo Mi's ability to make the reader feel embarrassment in a funny, charming way! For example, when she was eavesdropping on her higher-ups and choked on her meal... I found myself flushing just imagining it. Speaking of Woo Mi, I have to applaud you on her creation. Woo Mi is a character with flaws and a very obvious personality, which includes being late (a flaw) and being blunt (a personality trait). It probably seems obvious, but it's so important to tell readers who your main character is right from the jump. Since you did that, I didn't have to guess, which is appreciated.
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You also did this successfully with her sister and boss, however I would like to know more about her parents personalities (if they are going to be in the story often, that is). Are they both just overly critical of Woo Mi and each other? Or do they have a reason for being so critical? Maybe they're just so very worried for Woo Mi that they express it with negativity? Or, on a darker not, are they on the cusp of divorce!? This is just some of the things I would be curious about- I just want to know why they are that way.
I noticed you use "I" at the beginning of your sentences quite a lot, which is understandable. For a bit of varied structure, have you considered simply using other words in place of "I"? I know that alone sounds silly, so I'll give an example.
Consider this sentence: "I snatched my AirPods from their case and pressed play on my music that was already on the queue." You could flip this sentence and rephrase it as follows: Hurriedly, my hands snatched my AirPods from their case and pressed play on the music that was already on the queue." Here, "I" wasn't used at all, but readers still know that Woo Mi is the one grabbing the AirPods.
Speaking on Woo Mi again, although I like that she does have a personality and I can look at her and see she's going to be a character that causes so many problems for herself (by being so late!! Woo Mi, please get it together, love!!) Sometimes I don't understand her motives. Why did she get upset with Ok Soon-Ja? It seems like her mood just switched out of nowhere. Did she get a bad vibe from her? Was Ok Soon-Ja cocky? I know Woo Mi didn't like it when Ok Soon-Ja said her name was uncommon, so if that was the reason she wasn't too keen on taking her number after that, I would like a bit of elaboration is all.
All in all, I like the basis of the story! I want to know more about the characters and am excited to see where this goes <3