We'll endorse that parental health issues are disruptive, and not uncommonly the eldest or nearest daughter bears the load. The following comments are meant to add perspective based on our own experiences (all parents now deceased) , not suggest courses.
1. Serious health issues such as the aforementioned stroke are inevitable. It's always a matter of 'when'. Preparation does matter. For anyone with aging parents, the value of plans, knowing where paperwork is, and having a couple of legal documents available cannot be overstated. Generally, the documents include at a minimum advance directives, a durable power of attorney for healthcare decisions, and a general power of attorney to manage affairs when the parent is no longer capable.
2. It's very valuable to have conversations with parents when they are well to disambiguate positions and have clear decisions when they decline. While the event itself is usually a surprise/shock, the response should be pre-planned.
3. Acknowledge all of the stresses--time, money, and confrontation of fragility/mortality. Expect libido to evaporate until the crisis is past.
We'll add and even emphasize the importance of using these events to reconnect and reaffirm the importance of happiness and joy in life. The stresses will eventually resolve. How anyone emerges from that stress depends on how they feel they were successful and how they felt supported.
Finally, sex is a celebration of life. Its time will return. Don't try to use it as a way to accelerate reflection and recovery from crisis, but be ready when both partners are ready.