This is the 225th most frequent Chinese word.
虽然
"Although" or "though."
In this sentence, '虽然' conveys a concession where despite her busyness, she found time to help.
她虽然很忙,但还是帮我完成了工作。
Although she is very busy, she helped me complete my work.
'虽然' is used here to set up an expectation of mediocrity in cooking skills, which is contrasted by the actual outcome.
虽然我不太擅长烹饪,我做的菜还是得到了大家的称赞。
Although I am not very good at cooking, the dishes I made received praise from everyone.
Here, '虽然' introduces a contrast between the unfavorable weather and his decision to go running. It provides the premise for the upcoming clause.