Application to LSE too late?

Hello,

I am applying to the LSE MSc Finance (full-time) program but I am extremely worried that it may be too late. Do you think I have chances? I paid the online application and have everything set but the only thing missing is 1 letter of recommendation (which I will keep insisting) which I probably will have next week. When would it be too late?

Also, is it true that without the 2 letters the application does not move on?

My profile is the following:
-GMAT: 710 (90%) Q47 V40
-Bachelor: Economics a target university in Spain. 8.60/10 (7 out of a class of 160)
-1 year Exchange: University of Chicago: Booth (Economics, Corporate Finance, Strategic Management...)
-Recommendation letters: strong recommenders from UChicago and my home university
-Statement of Purpose: Quite good in my opinion
- Actively participating at my University Consulting Association. 2nd place in a Case Consulting Competition with a Jury of members of Bain, BCG and McKinsey
- Start Up co-founder. European Semi-Finalist at 4YFN Mobile World Congress Start Up competition + seed round of 200.000€ valuation
- 2 summer Internships. Financial Analyst at a well-known multinational and later on at a Strategy Consulting Boutique.
- Languages: Native Spanish and Catalan, Proficiency in English, Intermediate in French and basic German.


Thank you very much!