Can I return to Thailand using a visa exemption if my tourist visa isn't issued on time?

Hi guys. Any help would be greatly appreciated. I’m I am currently in Thailand and going back to the uk when my visa exemption extension runs out ( I will have been here for 60 days by that point). I leave for the uk end of April and return mid may. I will apply for a tourist visa whilst I’m in the uk however I worry there won’t be enough time for me to receive my tourist visa as I’m only in the uk for 2 weeks.I’ve done some research online and the london Thai embassy website says I can get a visa exemption to return to Thailand multiple times. I just wanted to check that if I don’t get my tourist visa back in time that I can still return to Thailand with another visa exemption. :))