I have had broken tie rods twice in the past 12 years, and only noticed when I went to do routine greasing. So, up to you, but I would be happy to drive it like that. I doubt whether you will find that anything else is damaged. It took me about 30 minutes to replace the rod and rebalance the tensions. Easy job.
Me too - had one break whilst I was in France on holiday, also only noticed when I was doing the greasing. I took the bits to a tractor repair place and got them welded together, lasted fine until I got back to the UK.