When I tap the Tinder app, the initial screen appears (white background with red logo at the center) for 10-12 seconds but then automatically shuts down.
  Any indication on how to fix it?
  An option is to delete the app and re-install it but I'm afraid I won't be able to read any messages / connections I received during the period I was unable to access Tinder (I know I'd still be able to read the old mssgs I received while it was working).
  
  Thank you!
  Added (1). (PS: Yes, I have the latest iOS 7.0.4)
  
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  @Muhammad: thank you for your answer but what does "may your iphones os is low for the app" mean?
  Read more: Tinder App won't work on iPhone?