What should I do about my ex?

My ex and I met on a dating website. Everything was going great, and after 2.5 months, we decided to make the relationship official. The one thing I sensed while we were dating is that the first time we argued it would be the end. Our first argument was over the dating website because she was still on it. She eventually took it down. The second one was about her breaking plans to come see me. It would have been the first time she was at my place and we live an hour from eachother. Her and I are both very busy. We both work and attend school full time which makes us available to eachother only on the weekends. We hardly spoke after the 2nd argument and all of a sudden she said she still cares about me but couldn't do the relationship because of schedules and distance. I know she has been really stressed out recently with both things and I wonder if she made an impulsive decision to end things. She really hates conflict and seems the type to run in any situation where there could be conflict. We havent had any contact in 4 days. Could this be her way of telling me she just needs some space? Does this sound like something that could work if I give her space? We both really care about eachother and would hate to see things end this way.