If you are honest about it it won't go against you. Especially if you are willing to fix it up yourself. The estate agents will gauge your reliability on many factors, but mostly if you pay your rent on time you are good tenants.
We broke a window in our last place - DH accidentally knocked a chair over and it broke the window. We told them, organised for the replacement, all was good. No love lost at all! Just because it's a rental doesn't mean you can't live in it. On the contrary, you are paying to do so. When you live in a place you have to expect accidents will occasionally happen.