- +1 The Story of Ming Lan - the SML is sort of forced to abandon the FL, but he could've taken bold steps to stay with her and decided not to - instead he chose the safest path that also ensured his family's safety; he also doesn't understand the FL's personality and circumstances as well as the ML does; the ML falls for the FL first and once he falls for her he is 100% committed to only her; the FL is very strong and takes a long time to fully accept the ML
- Sound of the Desert - the SML rejects the FL's confession even though he has feelings for her because he is wheelchair bound and does not believe he can make her happy; he regrets it immediately; the rest matches your description
- Across the Ocean to See You - the divorce wasn't exactly based on a misunderstanding, but her ex-husband does try to get her back; the rest matches your description
- Moon Lovers: Scarlet Heart Ryeo - the SML abandons the FL when she is at her lowest and most vulnerable; the rest matches your description
Dramas that more or less match your description, but I'm not sure I'd call the FLs "strong":
- Go Ho's Starry Night
- Something in the Rain
- Wednesday 3:30 PM - definitely matches the break up / ex part, but the ML does not fully, 110% commit to her until the end (which makes sense, because he spends most of the drama helping the FL make her ex regret breaking up with her)
Mostly fits your description, but the SML cheats on the FL and that's why she asks for a divorce (no misunderstanding), plus it's an odd mix of genres and there's almost no skinship, but the ML is great: