Purchasing with existing late-pay tenants

[Jon Shen]

Hello All - First time posting, been listening to the podcasts and reading the forums religiously since the beginning of the year. I am considering buying my first out of state rental property in Indiana with existing tenants. Aside from the first month, the existing tenant has made payment 15-30 days late every month. I see late fees being charged only twice, but were both paid. The existing lease is set to expire in 2 months on 8/31/19. I don't think this is a cause for me to back out since the lease expires in only 2 months and I can re-evaluate this tenant at that time, but wanted to get some opinions from the BP community. Am I just being a nervous newbie investor? Many thanks.