I read your problem,as you said you have bleeding gums
,this red bulgum might be because of the same reason.this bleeding gums may be due to many reasons like poor oral hygiene
,vitamin-c deficiency etc.
so i will suggest you please visit your dentist
first as soon as possible and go for complete oral examination and go for thorough scaling after that wait for 10-15 days and note the progress whether the problem is resolving or not,if you will get the relief,it will be because of poor oral hygiene and after that visit your dentist in each 6 months for regular dental check-up and if needed go for scaling otherwise not.
If you will not get relief even after scaling you should visit to your physician and go for complete blood examination and should rule out the cause after that take a treatment accordingly.
nothing to get worried.