ProfileInfoCache: Don't delete ProfileAvatarDownloader while we're being called by it

chrome/browser/profiles/profile_info_cache.h

Index: chrome/browser/profiles/profile_info_cache.h
diff --git a/chrome/browser/profiles/profile_info_cache.h b/chrome/browser/profiles/profile_info_cache.h
index d4602466db7fabd3e180b781a8a2e6ab23361f32..95db92c438fa54767df3137bafc1b73fd664757e 100644
--- a/chrome/browser/profiles/profile_info_cache.h
+++ b/chrome/browser/profiles/profile_info_cache.h
@@ -231,7 +231,7 @@ class ProfileInfoCache : public ProfileInfoInterface,
   // This prevents a picture from being downloaded multiple times. The
   // ProfileAvatarDownloader instances are deleted when the download completes
   // or when the ProfileInfoCache is destroyed.
-  mutable std::map<std::string, ProfileAvatarDownloader*>
+  std::map<std::string, ProfileAvatarDownloader*>
       avatar_images_downloads_in_progress_;
 
   DISALLOW_COPY_AND_ASSIGN(ProfileInfoCache);