Pegasus Airlines Missing Connections and Poor Resolution

We purchased a connecting flight ticket through Pegasus Airlines, which arranged our flights. After a 1.5-hour delay, we're still waiting at the gate for our plane, and we are going to miss our next flight. Here's where it gets interesting. Pegasus' solution to our predicament is to offer us a ticket for a flight one week later. A week! They even suggested that we could fly to Cyprus, though there's no guarantee that would work. I can't make it to work on time, and my spouse, a village doctor, won't make it either. Instead of resolving the issue, Pegasus suggests waiting around for a no-show to snag their seat. We've tried that. This isn't a solution. Offering flights a week later or suggesting we go to Istanbul to catch a flight in two days, meanwhile risking our jobs, is not addressing the problem. We paid over ₺6,000 for these tickets. I will not forget this experience and will seek to get what I'm owed from Pegasus.