You have choices.
Leave it as it is...or
Attempt to stain/varnish to match original - quite (very) difficult and you'll need to work out what the original might be.
Scrape off all of the finish and re-dress the surface.
What is the finish? Is it a "posh" table or just a regular kitchen knock-about?
Oiled wood looks very nice on an everyday table. Matt varnish looks better than gloss as it's less reflective and minor damage is less obvious.
Invest in an ironing board as a preventive measure
Richard Buxton, September 2008