If you want a few hundred responses, see this thread: https://www.researchgate.net/post/If_p-value_is_exactly_equal_to_005_is_that_significant_or_insignificant
Addition: you never accept H0. You can only fail to reject it. "Absence of evidence (of an effect) is not evidence of abscence (of an effect)"
Unfortunately Null Hypothesis Significance Testing method is a very misunderstood concept and it's interpretation is very vexing at times. As per your P-value, that is not considered a very low P-value and is associated with a high risk of false positive risks. So one should not rejoice when one achieves P-values near 0.05 (or around 0.01-0.05) as the false positive risk associated with P-values near 0.05 are very high. I will refer you to an excellent sourceArticle The reproducibility of research and the misinterpretation of p -values
) for this topic and encourage you to do your own research on this topic. There's a web calculator you can use to get an idea of FPR given you parameters and observed P-value:http://fpr-calc.ucl.ac.uk/
Lastly, what about the effect size, does it excite you? Is it trivial? I.e. If it's a cancer drug, does it extend lives by 1 minute or 1 year? Nobody will be excited about a very cytoxic drug that is also very expensive to administer only to extend a patient's life for 1 minute compared to placebo. That is a silly example but I think it makes the point about the importance of effect size.